Quantum Schur superalgebras and Kazhdan–Lusztig combinatorics

Jie Du, Hebing Rui

Type: Article

Publication Date: 2011-04-18

Citations: 29

DOI: https://doi.org/10.1016/j.jpaa.2011.03.015

View Publication

Locations

arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
Journal of Pure and Applied Algebra - View

Similar Works

Action	Title	Year	Authors
+	Quantum Schur Superalgebras and Kazhdan-Lusztig Combinatorics	2010	Jie Du Hebing Rui
+ PDF Chat	${\boldsymbol~q}$-Schur superalgebras	2018	Jie Du Haixia Gu
+	Canonical bases for the quantum linear supergroups	2014	Jie Du Haixia Gu
+	The Q-q-Schur superalgebra	2015	Jie Du Jinkui Wan
+	THE QUEER -SCHUR SUPERALGEBRA	2018	Jie Du Jinkui Wan
+ PDF Chat	Monomial bases for $q$-Schur algebras	2002	Jie Du Brian Parshall
+	The quantum general linear supergroup, canonical bases and Kazhdan-Lusztig polynomials	2009	He Zhang
+	Slim cyclotomic q-Schur algebras	2019	Bangming Deng Jie Du Guiyu Yang
+	The queer q-Schur superalgebra	2015	Jie Du Jinkui Wan
+	Slim cyclotomic q-Schur algebras	2018	Bangming Deng Jie Du Guiyu Yang
+ PDF Chat	Polynomial super representations of $$U_{q}^{\mathrm{res}}(\mathfrak {gl}_{m\|n})$$ at roots of unity	2019	Jie Du Yanan Lin Zhongguo Zhou
+	Lectures on dualities ABC in representation theory	2020	Li Luo Weiqiang Wang
+	Polynomial super representations of the hyperalgebra of $\mathfrak{gl}_{m\|n}$ at roots of unity	2018	Jie Du Yanan Lin Zhongguo Zhou
+	CANONICAL BASES FOR THE QUANTUM SUPERGROUPS U(gl mjn )	2014	Jie Du Haixia Gu
+	The Affine q-Schur algebra	1997	R. M. Green
+	The Affine q-Schur algebra	1997	R.M. Green
+	Quantum affine $\frak{gl}_n$ via Hecke algebras	2013	Jie Du Qiang Fu
+	A realisation of the quantum linear superalgebra	2013	Jie Du Haixia Gu
+	A realisation of the quantum supergroup <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="bold">U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy="false">\|</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math>	2014	Jie Du Haixia Gu
+	Classification of Hopf superalgebras associated with quantum special linear superalgebra at roots of unity using Weyl groupoid	2021	A. Mazurenko Vladimir Stukopin

Works That Cite This (29)

Action	Title	Year	Authors
+	On Frobenius–Lusztig Kernels of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy="false">\|</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>	2024	Qiang Fu Zhehai Yang
+	The infinitesimal and the little <i>q</i>-Schur superalgebras	2017	Xiaoyu Chen Haixia Gu Jianpan Wang
+	Multiplication formulas and semisimplicity for q-Schur superalgebras	2018	Jie Du Haixia Gu Zhongguo Zhou
+	The queer q-Schur superalgebra	2015	Jie Du Jinkui Wan
+ PDF Chat	Irreducible representations of q-Schur superalgebras at a root of unity	2014	Jie Du Haixia Gu Jianpan Wang
+ PDF Chat	${\boldsymbol~q}$-Schur superalgebras	2018	Jie Du Haixia Gu
+	Representations of q-Schur superalgebras in positive characteristics	2017	Jie Du Haixia Gu Jianpan Wang
+	THE QUEER -SCHUR SUPERALGEBRA	2018	Jie Du Jinkui Wan
+ PDF Chat	The first and second fundamental theorems of invariant theory for the quantum general linear supergroup	2020	Yang Zhang
+ PDF Chat	Polynomial super representations of $$U_{q}^{\mathrm{res}}(\mathfrak {gl}_{m\|n})$$ at roots of unity	2019	Jie Du Yanan Lin Zhongguo Zhou

Works Cited by This (21)

Action	Title	Year	Authors
+ PDF Chat	Cells in Affine Weyl Groups	2018	G. Lusztig
+ PDF Chat	Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$	2000	Georgia Benkart Seok‐Jin Kang Masaki Kashiwara
+ PDF Chat	HIGHEST WEIGHT VECTORS OF IRREDUCIBLE REPRESENTATIONS OF THE QUANTUM SUPERALGEBRA μ<sub>q</sub>(gl(m, n))	2003	Dongho Moon
+ PDF Chat	None	2003	Jonathan Brundan Jonathan R. Kujawa
+ PDF Chat	Finite Dimensional Algebras and Quantum Groups	2008	Bangming Deng Jie Du Brian Parshall Jianpan Wang
+	On Lusztig's isomorphism theorem for Hecke algebras	1985	Charles W. Curtis
+	Projective representations of symmetric groups via Sergeev duality	2002	Jonathan Brundan Alexander Kleshchev
+ PDF Chat	Schur–Weyl Reciprocity between the Quantum Superalgebra and the Iwahori–Hecke Algebra	2006	Hideo Mitsuhashi
+	Representations of Coxeter groups and Hecke algebras	1979	David Kazhdan G. Lusztig
+	Hook young diagrams with applications to combinatorics and to representations of Lie superalgebras	1987	Allan Berele Amitai Regev