Study of multiplicities in induced representations of \(GL_n\) through a symmetric reduction

DOI10.1007/s00229-022-01375-1OpenAlexW4210939639MaRDI QIDQ2700851

Taiwang Deng

Publication date: 27 April 2023

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-022-01375-1

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Representations of Lie and linear algebraic groups over local fields (22E50)

Cites Work

• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Geometric construction of crystal bases
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• The combinatorial invariance conjecture for parabolic Kazhdan-Lusztig polynomials of lower intervals
• Imaginary vectors in the dual canonical basis of \(U_q({\mathfrak n})\)
• Geometric conditions for \(\square\)-irreducibility of certain representations of the general linear group over a non-Archimedean local field
• Combinatorial invariance of Kazhdan-Lusztig polynomials on intervals starting from the identity.
• Special matchings and Kazhdan-Lusztig polynomials
• A sufficient condition for the irreducibility of a parabolically induced representation of \(GL(m,D)\)
• L’involution de Zelevinski modulo ℓ
• Representation Theory and Complex Geometry
• Two remarks on graded nilpotent classes
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. I
• Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A
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