Weil representations of , q > 3 odd, via presentation and compatibility of methods

DOI10.1080/00927872.2017.1327055zbMath1473.20023arXiv1606.03346OpenAlexW2612119370MaRDI QIDQ4643655

Luis Gutiérrez Frez, Andrea Vera-Gajardo

Publication date: 28 May 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03346

zbMATH Keywords

Weil representationsquasi-split unitary groupsgeneralized classical groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (2)

Generators and relations for the unitary group of a skew Hermitian form over a local ring ⋮ Weil representations via abstract data and Heisenberg groups: a comparison

Cites Work

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• A reverse engineering approach to the Weil representation
• A generalized Weil representation for \(\text{SL}_*(2,A_m)\), where \(A_m=\mathbb{F}_q[x\langle x^m\rangle\).]
• Weil representation of a generalized linear group over a ring of truncated polynomials over a finite field endowed with a second class involution.
• The Weil representation, Maslov index and theta series
• Die irreduziblen Darstellungen der Gruppen \(SL_2(Z_p)\), insbesondere \(SL_2(Z_2)\). I
• Die irreduziblen Darstellungen der Gruppen \(SL_2(Z_p)\), insbesondere \(SL_2(Z_2)\). II
• Weil representations associated to finite fields
• A Bruhat decomposition of the group \(\text{Sl}_*(2,A)\).
• Combinatorics of finite abelian groups and Weil representations
• The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring.
• A presentation of the group \(\text{Sl}_*(2,A)\), \(A\) a simple Artinian ring with involution.
• Sur certains groupes d'opérateurs unitaires
• Irreducible representations of the binary modular congruence groups mod \(p^ \lambda\)
• Construction and classification of irreducible representations of special linear group of the second order over a finite field
• On Generalized Weil Representations over Involutive Rings
• Bruhat Presentations for ∗-Classical Groups
• A Generalized Weil Representation for the finite split orthogonal group $O_q(2n,2n)$, $q$ odd greater than $3$
• Die irreduziblen Darstellungen von \(GL_2(Z_p)\), insbesondere \(GL_2(Z_2)\)

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