Crystal Hoyt

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Duflo–Serganova Functor, Vingt Ans Après	2022	Maria Gorelik Crystal Hoyt Vera Serganova Alexander Sherman
+	Finite-Dimensional Lie Algebras	2022	Ivan Penkov Crystal Hoyt
+	Classical Lie Algebras at Infinity	2022	Ivan Penkov Crystal Hoyt
+	Finite-Dimensional Lie Superalgebras	2021	Ivan Penkov Crystal Hoyt
+	The Bott–Borel–Weil Theorem	2021	Ivan Penkov Crystal Hoyt
+ PDF Chat	Generalized Harish-Chandra Modules	2021	Ivan Penkov Crystal Hoyt
+	Weight Modules	2021	Ivan Penkov Crystal Hoyt
+	General Cartan, Borel and Parabolic Subalgebras of $$\mathfrak {gl} (\infty )$$ and $$\mathfrak {sl}(\infty )$$	2021	Ivan Penkov Crystal Hoyt
+	Root-Reductive Lie Algebras	2021	Ivan Penkov Crystal Hoyt
+	Tensor Modules of $$\mathfrak {sl}(\infty )$$ , $$\mathfrak {o}(\infty )$$ , $$\mathfrak {sp}(\infty )$$	2021	Ivan Penkov Crystal Hoyt
+	Two Generalizations	2021	Ivan Penkov Crystal Hoyt
+	Splitting Borel Subalgebras of $$\mathfrak {sl} (\infty )$$ , $$\mathfrak {o}(\infty )$$ , $$\mathfrak {sp}(\infty )$$ and Generalized Flags	2021	Ivan Penkov Crystal Hoyt
+	Denominator identities for the periplectic Lie superalgebra	2020	Crystal Hoyt Mee Seong Im Shifra Reif
+	Denominator identities for the periplectic Lie superalgebra.	2019	Crystal Hoyt Mee Seong Im Shifra Reif
+ PDF Chat	Grothendieck rings for Lie superalgebras and the Duflo–Serganova functor	2018	Crystal Hoyt Shifra Reif
+ PDF Chat	Integrable sl(∞)‐modules and category O for gl(m\|n)	2018	Crystal Hoyt Ivan Penkov Vera Serganova
+ PDF Chat	Integrable $sl(\infty)$-modules and Category $\mathcal O$ for $\mathfrak{gl}(m\|n)$.	2017	Crystal Hoyt Ivan Penkov Vera Serganova
+	The Duflo-Serganova functor and Grothendieck rings of Lie superalgebras	2016	Crystal Hoyt Shifra Reif
+	On good Z-gradings of basic Lie superalgebras	2016	Crystal Hoyt
+ PDF Chat	The Kac–Wakimoto character formula for the general linear Lie superalgebra	2015	Michael Chmutov Crystal Hoyt Shifra Reif
+	Character formulas and tame representations for gl(m\|n)	2014	Michael Chmutov Crystal Hoyt Shifra Reif
+	A Weyl-Type character formula for PDC modules of gl(m\|n)	2014	Michael Chmutov Crystal Hoyt Shifra Reif
+	Weight modules of D(2,1, α)	2014	Crystal Hoyt
+	Weight modules for the Lie superalgebra D(2,1,a)	2013	Crystal Hoyt
+ PDF Chat	Good gradings of basic Lie superalgebras	2012	Crystal Hoyt
+	Algebra & Number Theory	2012	Michael Chmutov Crystal Hoyt Shifra Reif
+	On good Z-gradings of basic Lie superalgebras (表現論と調和解析における諸問題 : RIMS研究集会報告集)	2011	Crystal Hoyt
+	On good $\mathbb{Z}$-gradings of basic Lie superalgebras (Problems in Representation Theory and Harmonic Analysis)	2011	Crystal Hoyt
+	Good gradings of basic Lie superalgebras	2010	Crystal Hoyt
+ PDF Chat	Regular Kac–Moody superalgebras and integrable highest weight modules	2010	Crystal Hoyt
+ PDF Chat	Simplicity of vacuum modules over affine Lie superalgebras	2009	Crystal Hoyt Shifra Reif
+	Classication of nite-growth contragredient Lie superalgebras	2009	Crystal Hoyt
+	Regular Kac-Moody superalgebras and integrable highest weight modules	2008	Crystal Hoyt
+	Simplicity of vacuum modules over affine Lie superalgebras	2008	Crystal Hoyt Shifra Reif
+	Classification of finite-growth general Kac-Moody superalgebras	2008	Crystal Hoyt Vera Serganova
+ PDF Chat	Classification of Finite-Growth General Kac–Moody Superalgebras	2007	Crystal Hoyt Vera Serganova

Common Coauthors

Coauthor	Papers Together
Ivan Penkov	13
Shifra Reif	10
Vera Serganova	5
Michael Chmutov	4
Mee Seong Im	2
Maria Gorelik	1
Alexander Sherman	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Lie superalgebras	1977	Victor G. Kač	12
+ PDF Chat	Integrable Highest Weight Modules over Affine Superalgebras and Number Theory	1994	Victor G. Kač Minoru Wakimoto	9
+	Lie Superalgebras and Enveloping Algebras	2012	Ian M. Musson	8
+ PDF Chat	Infinite-Dimensional Lie Algebras	1990	Victor G. Kač	6
+ PDF Chat	Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras	2010	Caroline Gruson Vera Serganova	5
+ PDF Chat	Quantum Reduction for Affine Superalgebras	2003	Victor G. Kač Shi-shyr Roan Minoru Wakimoto	5
+ PDF Chat	Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup	2012	Jonathan Brundan Catharina Stroppel	5
+	Kac–Moody Superalgebras and Integrability	2010	Vera Serganova	5
+	Representations of classical lie superalgebras	1978	Victor G. Kač	5
+	On simplicity of vacuum modules	2006	Maria Gorelik Victor G. Kač	4
+ PDF Chat	Weyl Denominator Identity for Finite-Dimensional Lie Superalgebras	2011	Maria Gorelik	4
+ PDF Chat	Tensor Representations of Classical Locally Finite Lie Algebras	2010	Ivan Penkov Konstantin Styrkas	4
+	A Koszul category of representations of finitary Lie algebras	2015	Elizabeth Dan-Cohen Ivan Penkov Vera Serganova	4
+	Infinite-dimensional algebras, Dedekind's η-function, classical möbius function and the very strange formula	1978	Victor G. Kač	4
+ PDF Chat	Representation categories of Mackey Lie algebras as universal monoidal categories	2017	Alexandru Chirvăsitu Ivan Penkov	4
+	On associated variety for Lie superalgebras	2005	Michel Duflo Vera Serganova	4
+	A classification of contragredient lie superalgebras of finite growth	1989	J.W. van de Leur	4
+	Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪\|𝔫)	2002	Jonathan Brundan	4
+ PDF Chat	Integrable Highest Weight Modules over Affine Superalgebras and Appell's Function	2001	Victor G. Kač Minoru Wakimoto	4
+ PDF Chat	Deligne Categories and the Limit of Categories Rep(GL(m\|n))	2018	Inna Entova-Aizenbud Vladimir Hinich Vera Serganova	3
+	GENERIC IRREDUCIBLE REPRESENTATIONS OF FINITE-DIMENSIONAL LIE SUPERALGEBRAS	1994	Ivan Penkov Vera Serganova	3
+ PDF Chat	Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture	2005	Tomoyuki Arakawa	3
+	Good grading polytopes	2006	Jonathan Brundan Simon M. Goodwin	3
+ PDF Chat	Grothendieck rings of basic classical Lie superalgebras	2011	A. N. Sergeev А. П. Веселов	3
+	Characters of irreducible representations of simple Lie superalgebras	1998	Vera Serganova	3
+ PDF Chat	Grothendieck rings for Lie superalgebras and the Duflo–Serganova functor	2018	Crystal Hoyt Shifra Reif	3
+	On the Superdimension of an Irreducible Representation of a Basic Classical Lie Superalgebra	2011	Vera Serganova	3
+	Homological invariants in category $\mathcal {O}$ for the general linear superalgebra	2017	Kevin Coulembier Vera Serganova	3
+	Weyl denominator identity for affine Lie superalgebras with non-zero dual Coxeter number	2011	Maria Gorelik	3
+ PDF Chat	Classification of irreducible weight modules	2000	Olivier Mathieu	3
+	Weyl denominator identity for the affine Lie superalgebra gl(2\|2)^	2010	Maria Gorelik	3
+	On Whittaker vectors and representation theory	1978	Bertram Kostant	3
+ PDF Chat	Ordered Tensor Categories and Representations of the Mackey Lie Algebra of Infinite Matrices	2018	Alexandru Chirvăsitu Ivan Penkov	3
+ PDF Chat	Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs	2012	Maria Gorelik Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi	3
+ PDF Chat	Cartan subalgebras of root-reductive Lie algebras	2006	Elizabeth Dan-Cohen Ivan Penkov Noah Snyder	3
+	Characters of typical representations of classical lie superalgebras	1977	Victor G. Kač	3
+ PDF Chat	A proof of the Kac-Wakimoto affine denominator formula for the strange series	2000	Don Zagier	3
+	Quantum reduction and representation theory of superconformal algebras	2004	Victor G. Kač Minoru Wakimoto	3
+ PDF Chat	A Categorification of the Boson–Fermion Correspondence via Representation Theory of sl(∞)	2015	Igor Frenkel Ivan Penkov Vera Serganova	3
+ PDF Chat	REPRESENTATIONS OF AFFINE SUPERALGEBRAS AND MOCK THETA FUNCTIONS	2014	Victor G. Kač Minoru Wakimoto	3
+	Finitary Simple Lie Algebras	1999	Alexander Baranov	2
+	Finite Groups of Lie Type: Conjugacy Classes and Complex Characters	1993	Roger W. Carter	2
+ PDF Chat	Denominator Identity for Twisted Affine Lie Superalgebras	2013	Shifra Reif	2
+ PDF Chat	Cartan Subalgebras of	2003	Karl‐Hermann Neeb Ivan Penkov	2
+ PDF Chat	None	2003	Jonathan Brundan Jonathan R. Kujawa	2
+	The Theory of Lie Superalgebras: An Introduction	1979	M. Scheunert	2
+ PDF Chat	The Kac Construction of the Centre of U(g) for Lie Superalgebras	2004	Maria Gorelik	2
+ PDF Chat	Classification of Finite-Growth General Kac–Moody Superalgebras	2007	Crystal Hoyt Vera Serganova	2
+	Hook young diagrams with applications to combinatorics and to representations of Lie superalgebras	1987	Allan Berele Amitai Regev	2
+ PDF Chat	STABILITY PATTERNS IN REPRESENTATION THEORY	2015	Steven V Sam Andrew Snowden	2