František Marko

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All published works

Action	Title	Year	Authors
+	A geometric proof of the binomial identity	2024	František Marko Semyon Litvinov
+	A Note on Schur-Weyl Dualities for GL(m) and GL(m\|n)	2024	František Marko
+	Presentation of rational Schur algebras	2024	František Marko
+	Two Comments on the Binomial Theorem	2023	Semyon Litvinov František Marko
+	A note on Schur-Weyl dualities for $GL(m)$ and $GL(m\|n)$	2023	František Marko
+	Presentation of rational Schur algebras	2023	František Marko
+	Linkage for periplectic supergroups in positive characteristic	2023	František Marko Alexandr N. Zubkov
+ PDF Chat	Symmetrizers for Schur superalgebras	2022	František Marko
+ PDF Chat	DONKIN–KOPPINEN FILTRATION FOR GL(m\|n) AND GENERALIZED SCHUR SUPERALGEBRAS	2022	František Marko Alexandr N. Zubkov
+	Combinatorial Aspects of An Odd Linkage Property for General Linear Supergroups	2021	František Marko
+ PDF Chat	A Note on the Geometry of Figurate Numbers	2021	František Marko José L. Cereceda
+ PDF Chat	A combinatorial approach to Donkin-Koppinen filtrations of general linear supergroups	2021	František Marko
+	A combinatorial approach to Donkin-Koppinen filtrations of general linear supergroups	2020	František Marko
+	Adjoint invariants of second Frobenius kernels of <i>GL</i>(2)	2020	František Marko
+	A note on the geometry of figurate numbers.	2020	František Marko
+	Central elements in the distribution algebra of a general linear supergroup and supersymmetric elements	2020	František Marko Alexandr N. Zubkov
+ PDF Chat	Supersymmetric Elements in Divided Powers Algebras	2020	František Marko
+	A combinatorial approach to Donkin-Koppinen filtrations of general linear supergroups	2020	František Marko
+	Donkin-Koppinen filtration for GL(m\|n) and generalized Schur superalgebras	2020	František Marko Alexandr N. Zubkov
+	Symmetrizers for Schur superalgebras	2020	František Marko
+	A note on the geometry of figurate numbers	2020	František Marko
+ PDF Chat	Sums of Powers of Consecutive Integers and Pascal’s Triangle	2019	Semyon Litvinov František Marko
+ PDF Chat	Geometry of Figurate Numbers and Sums of Powers of Consecutive Natural Numbers	2019	František Marko Semyon Litvinov
+	Adjoint invariants of Frobenius kernels of <i>GL</i>(<i>m</i>) and elements of the center of <i>Dist</i>(<i>GL</i>(<i>m</i>))	2019	František Marko
+ PDF Chat	Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras	2019	František Marko
+	Central elements in the distribution algebra of a general linear supergroup and supersymmetric elements.	2018	František Marko Alexandr N. Zubkov
+	Supersymmetric elements in divided powers algebras	2018	František Marko
+	Description of costandard modules for Schur superalgebra S(2 vertical bar 2) in positive characteristic	2018	A. Grishkov František Marko
+	Supersymmetric elements in divided powers algebras	2018	František Marko
+	Central elements in the distribution algebra of a general linear supergroup and supersymmetric elements	2018	František Marko Alexandr N. Zubkov
+	Irreducibility of induced supermodules for general linear supergroups	2017	František Marko
+	Linkage principle for ortho-symplectic supergroups	2017	František Marko Alexandr N. Zubkov
+ PDF Chat	BLOCKS FOR THE GENERAL LINEAR SUPERGROUP GL(m\|n)	2017	František Marko Alexandr N. Zubkov
+	Description of costandard modules for Schur superalgebra S(2\|2) in positive characteristic	2017	A. Grishkov František Marko
+	On the Steiner–Routh Theorem for Simplices	2017	František Marko Semyon Litvinov
+ PDF Chat	Public-key cryptosystem based on invariants of diagonalizable groups	2017	František Marko Alexandr N. Zubkov Martin Juráš
+ PDF Chat	Minimal degrees of invariants of (super)groups – a connection to cryptology	2016	František Marko Alexandr N. Zubkov
+	Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras	2016	František Marko
+	Linkage principle for ortho-symplectic supergroups	2016	František Marko Alexandr N. Zubkov
+	Minimal degrees of invariants of (super)groups - a connection to cryptology	2016	František Marko Alexandr N. Zubkov
+ PDF Chat	The Center of Dist (GL(m\|n)) in Positive Characteristic	2016	Alexandr N. Zubkov František Marko
+	Combinatorial aspects of the linkage principle for general linear supergroups	2016	František Marko
+	Public-Key Cryptosystem Based on Invariants of Groups	2016	František Marko Martin Juráš Alexandr N. Zubkov
+	Minimal degrees of invariants of (super)groups - a connection to cryptology	2016	František Marko Alexandr N. Zubkov
+	Linkage principle for ortho-symplectic supergroups	2016	František Marko Alexandr N. Zubkov
+	Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras	2016	František Marko
+	Public-key cryptosystem based on invariants of diagonalizable groups	2015	František Marko Alexandr N. Zubkov Martin Juráš
+	Blocks for general linear supergroup $GL(m\|n)$	2015	František Marko Alexandr N. Zubkov
+	Congruences of Ankeny–Artin–Chowla type and the p-adic class number formula revisited	2015	František Marko
+ PDF Chat	Topological aspects of infinitude of primes in arithmetic progressions	2015	František Marko Štefan Porubský
+	Public-key cryptosystem based on invariants of diagonalizable groups	2015	František Marko Alexandr N. Zubkov Martin Juráš
+	Blocks for general linear supergroup $GL(m\|n)$	2015	František Marko Alexandr N. Zubkov
+ PDF Chat	Routh’s theorem for tetrahedra	2014	Semyon Litvinov František Marko
+	The center of $Dist(GL(m\|n))$ in positive characteristic	2014	Alexandr N. Zubkov František Marko
+	Routh's theorem for simplices	2014	František Marko Semyon Litvinov
+	Routh's theorem for tetrahedra revisited	2014	František Marko Semyon Litvinov
+ PDF Chat	Primitive vectors in induced supermodules for general linear supergroups	2014	František Marko
+	Routh's Theorem for Tetrahedra	2014	Semyon Litvinov František Marko
+	Derived Representation Type of Schur Superalgebras	2014	Vyacheslav Futorny František Marko
+	Designing A Cryptosystem Based On Invariants Of Supergroups	2014	Martin Juráš František Marko Alexandr N. Zubkov
+	Routh's theorem for simplices	2014	František Marko Semyon Litvinov
+	Routh's Theorem for Tetrahedra	2014	Semyon Litvinov František Marko
+	The center of $Dist(GL(m\|n))$ in positive characteristic	2014	Alexandr N. Zubkov František Marko
+ PDF Chat	Ankeny-Artin-Chowla type congruences modulo p 3	2013	Stanislav Jakubec František Marko
+	Primitive vectors in induced supermodules for general linear supergroups	2013	František Marko
+	Irreducibility of induced modules for general linear supergroups	2013	František Marko
+ PDF Chat	Description of Costandard Modules of Schur Superalgebra<i>S</i>(3 \| 1)	2013	František Marko
+ PDF Chat	DESCRIPTION OF SIMPLE MODULES FOR SCHUR SUPERALGEBRA <i>S</i>(2\|2)	2013	A. Grishkov František Marko
+	Irreducibility of induced modules for general linear supergroups	2013	František Marko
+	Primitive vectors in induced supermodules for general linear supergroups	2013	František Marko
+ PDF Chat	The role of bideterminants in the representation theory	2012	František Marko
+	A NOTE ON DENSITY AND THE DIRICHLET CONDITION	2011	František Marko Štefan Porubský
+ PDF Chat	Pseudocompact Algebras and Highest Weight Categories	2011	František Marko Alexandr N. Zubkov
+	Generators of supersymmetric polynomials in positive characteristic	2011	A. Grishkov František Marko Alexandr N. Zubkov
+	Pseudocompact algebras and highest weight categories	2011	František Marko Alexandr N. Zubkov
+	A note on bideterminants for Schur superalgebras	2011	František Marko Alexandr N. Zubkov
+	Pseudocompact algebras and highest weight categories	2011	František Marko Alexandr N. Zubkov
+	Decomposition of congruences involving a map Φ	2010	František Marko
+	Description of costandard modules for Schur superalgebra<i>S</i>(2\|1) in positive characteristic	2010	A. Grishkov František Marko Alexandr N. Zubkov
+	Generators of supersymmetric polynomials in positive characteristic	2009	A. Grishkov František Marko Alexandr N. Zubkov
+	Exactness of Complexes of Modules over Schur Superalgebras	2006	Alexandr N. Grishkov František Marko Alexandr N. Zubkov
+	Schur Superalgebras in Characteristic p	2006	František Marko Alexandr N. Zubkov
+	ALGEBRA ASSOCIATED WITH THE PRINCIPAL BLOCK OF CATEGORY $\mathcal{O}$ FOR sl<sub>3</sub>(ℂ)	2006	František Marko
+	SCHUR SUPERALGEBRAS IN CHARACTERISTIC p, II	2006	František Marko Alexandr N. Zubkov
+	SCHUR SUPERALGEBRAS IN CHARACTERISTIC p, II	2006	František Marko Alexandr N. Zubkov
+	Borel subalgebras of extension algebras	2005	František Marko
+	Extension algebras of standard modules	2005	František Marko
+ PDF Chat	On the existence of Minkowski units in totally real cyclic fields	2005	František Marko
+ PDF Chat	Corrigendum Parity of class numbers and Witt equivalence of quartic fields	1997	Stanislav Jakubec František Marko Kazimierz Szymiczek
+	Corrigendum: ``Parity of class numbers and Witt equivalence of quartic fields'' [Math. Comp. 64 (1995), no. 212, 1711-1715; MR1308455 (95m:11123)]	1997	Stanislav Jakubec František Marko Kazimierz Szymiczek
+	On the existence ofp-units and minkowski units in totally real cyclic fields	1996	František Marko
+	A note on pseudoprimes with respect to abelian linear recurring sequence	1996	František Marko
+ PDF Chat	Quasi-Hereditary Endomorphism Algebras	1995	Vlastimil Dlab Philip R. Heath František Marko
+	Parity of Class Numbers and Witt Equivalence of Quartic Fields	1995	Stanislav Jakubec František Marko Kazimierz Szymiczek
+ PDF Chat	Parity of class numbers and Witt equivalence of quartic fields	1995	Stanislav Jakubec František Marko Kazimierz Szymiczek
+ PDF Chat	Witt equivalence classes of quartic number fields	1992	Stanislav Jakubec František Marko
+	Polynomials of the form $g(x^k)$ and pseudoprimes with respect to linear recurring sequences	1992	František Marko
+ PDF Chat	Witt Equivalence Classes of Quartic Number Fields	1992	Stanislav Jakubec František Marko

Common Coauthors

Coauthor	Papers Together
Alexandr N. Zubkov	34
Semyon Litvinov	11
Stanislav Jakubec	7
A. Grishkov	6
Martin Juráš	5
Kazimierz Szymiczek	4
Štefan Porubský	2
Philip R. Heath	1
Vyacheslav Futorny	1
Vlastimil Dlab	1
José L. Cereceda	1
Alexandr N. Grishkov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Some properties of general linear supergroups and of Schur superalgebras	2006	Alexandr N. Zubkov	22
+ PDF Chat	None	2003	Jonathan Brundan Jonathan R. Kujawa	21
+	Hook young diagrams with applications to combinatorics and to representations of Lie superalgebras	1987	Allan Berele Amitai Regev	18
+	COSTANDARD MODULES OVER SCHUR SUPERALGEBRAS IN CHARACTERISTIC p	2008	Roberto La Scala Alexandr N. Zubkov	16
+	Representations of Algebraic Groups	2007	Jens Carsten Jantzen	15
+	Schur Superalgebras in Characteristic p	2006	František Marko Alexandr N. Zubkov	13
+ PDF Chat	DESCRIPTION OF SIMPLE MODULES FOR SCHUR SUPERALGEBRA <i>S</i>(2\|2)	2013	A. Grishkov František Marko	8
+ PDF Chat	Primitive vectors in induced supermodules for general linear supergroups	2014	František Marko	8
+	Donkin–Koppinen Filtration for General Linear Supergroups	2011	Roberto La Scala Alexandr N. Zubkov	8
+ PDF Chat	Affine Quotients of Supergroups	2009	Alexandr N. Zubkov	7
+	Finite dimensional algebras and highest weight categories.	1988	Edward Cline Brian Parshall Leonard L. Scott	7
+	REPRESENTATIONS OF ALGEBRAIC GROUPS	1988	H. H. Andersen	7
+	A characterization of supersymmetric polynomials	1985	John R. Stembridge	7
+ PDF Chat	Polynomial representations of GLn	1981	James Green	7
+	The algebra of polynomial invariants of the adjoint representation of the Lie superalgebra gl(m,n)	1997	Issai Kantor I. M. Trishin	7
+ PDF Chat	Pseudocompact Algebras and Highest Weight Categories	2011	František Marko Alexandr N. Zubkov	6
+ PDF Chat	The Center of Dist (GL(m\|n)) in Positive Characteristic	2016	Alexandr N. Zubkov František Marko	6
+ PDF Chat	Description of Costandard Modules of Schur Superalgebra<i>S</i>(3 \| 1)	2013	František Marko	6
+	Characters of typical representations of classical lie superalgebras	1977	Victor G. Kač	6
+ PDF Chat	BLOCKS FOR THE GENERAL LINEAR SUPERGROUP GL(m\|n)	2017	František Marko Alexandr N. Zubkov	5
+	Description of costandard modules for Schur superalgebra<i>S</i>(2\|1) in positive characteristic	2010	A. Grishkov František Marko Alexandr N. Zubkov	5
+	The Steinberg tensor product theorem for 𝐺𝐿(𝑚\𝑣𝑒𝑟𝑡𝑛)	2006	Jonathan R. Kujawa	5
+	Symmetric and Exterior Powers, Linear Source Modules and Representations of Schur Superalgebras	2001	Stephen Donkin	5
+	Algebra. A Text-book of Determinants, Matrices, and Algebraic Forms.	1942	R. F. Rinehart W. L. Ferrar	5
+ PDF Chat	Some homological properties of GL(m\|n) in arbitrary characteristic	2015	Alexandr N. Zubkov	5
+	Dualities and Representations of Lie Superalgebras	2012	Shun‐Jen Cheng Weiqiang Wang	5
+	On the modular representations of the general linear and symmetric groups	1974	Roger W. Carter G. Lusztig	5
+	Generators of supersymmetric polynomials in positive characteristic	2011	A. Grishkov František Marko Alexandr N. Zubkov	4
+ PDF Chat	Algebraic cryptography: new constructions and their security against provable break	2009	Dmitry Grigoriev Arist Kojevnikov Sergey Nikolenko	4
+	Irreducibility of induced modules for general linear supergroups	2013	František Marko	4
+ PDF Chat	Schur Algebras and Representation Theory	1994	Stuart Martin	4
+	The Theorems of Ceva and Menelaus and their Extension	1927	Paul Wernicke	4
+	On the Modular Representations of the General Linear and Symmetric Groups	1974	R. W. Carter G. Lusztig	4
+ PDF Chat	On some applications of the universal enveloping algebra of a semisimple Lie algebra	1951	Harish-chandra Harish-Chandra	4
+ PDF Chat	On the Castelnuovo-Mumford regularity of rings of polynomial invariants	2011	Peter Symonds	4
+ PDF Chat	Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field	2012	Akira Masuoka	4
+	Central differential operators on split semi-simple groups over fields of positive characteristic	1980	William Haboush	4
+	Dualities and Representations of Lie Superalgebras	2012	Shun‐Jen Cheng Weiqiang Wang	4
+ PDF Chat	Modular representations of the ortho-symplectic supergroups	2007	Bin Shu Weiqiang Wang	4
+	Witt equivalence of global fields	1991	Kazimierz Szymiczek	4
+	On Schur algebras and related algebras, I	1986	Stephen Donkin	4
+ PDF Chat	Polynomial Representations of GLn	1980	James Green	4
+	SCHUR SUPERALGEBRAS IN CHARACTERISTIC p, II	2006	František Marko Alexandr N. Zubkov	4
+	A New Proof of Routh's Theorem	1976	Ivan Niven	4
+	Public-key cryptography and invariant theory	2005	Dmitry Grigoriev	4
+	Tableau algorithms defined naturally for pictures	1996	Marc A. A. van Leeuwen	3
+	Linear Algebraic Groups	1975	James E. Humphreys	3
+	Crystal structures arising from representations of $GL(m\|n)$	2003	Jonathan R. Kujawa	3
+	Specht modules and symmetric groups	1975	M.H Peel	3
+ PDF Chat	Elementary and Analytic Theory of Algebraic Numbers	1991	Peter Shiu Władysław Narkiewicz	3