Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Contents of Volume 25
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Cohomological representations of parahoric subgroups: Charlotte Chan and Alexander Ivanov; Represent. Theory 25 (2021), 1-26; DOI: https://doi.org/10.1090/ert/557; Published electronically: January 8, 2021; PDF

Global crystal bases for integrable modules over a quantum symmetric pair of type AIII: Hideya Watanabe; Represent. Theory 25 (2021), 27-66; DOI: https://doi.org/10.1090/ert/556; Published electronically: January 12, 2021; PDF

Coherent IC-sheaves on type $A_{n}$ affine Grassmannians and dual canonical basis of affine type $A_{1}$: Michael Finkelberg and Ryo Fujita; Represent. Theory 25 (2021), 67-89; DOI: https://doi.org/10.1090/ert/558; Published electronically: January 28, 2021; PDF

Varieties of elementary abelian Lie algebras and degrees of modules: Hao Chang and Rolf Farnsteiner; Represent. Theory 25 (2021), 90-141; DOI: https://doi.org/10.1090/ert/559; Published electronically: February 11, 2021; PDF

Characters and generation of Sylow 2-subgroups: Gabriel Navarro, Noelia Rizo, A. A. Schaeffer Fry and Carolina Vallejo; Represent. Theory 25 (2021), 142-165; DOI: https://doi.org/10.1090/ert/555; Published electronically: February 25, 2021; PDF

Reducing mod $p$ complex representations of finite reductive groups: G. Lusztig; Represent. Theory 25 (2021), 166-172; DOI: https://doi.org/10.1090/ert/562; Published electronically: March 2, 2021; PDF

The sparsity of character tables of high rank groups of Lie type: Michael J. Larsen and Alexander R. Miller; Represent. Theory 25 (2021), 173-192; DOI: https://doi.org/10.1090/ert/560; Published electronically: March 4, 2021; PDF

Rank-deficient representations in the theta correspondence over finite fields arise from quantum codes: Felipe Montealegre-Mora and David Gross; Represent. Theory 25 (2021), 193-223; DOI: https://doi.org/10.1090/ert/563; Published electronically: March 25, 2021; PDF

Simple and projective correspondence functors: Serge Bouc and Jacques Thévenaz; Represent. Theory 25 (2021), 224-264; DOI: https://doi.org/10.1090/ert/564; Published electronically: April 2, 2021; PDF

Equivalence of a tangle category and a category of infinite dimensional $\mathrm {U}_q(\mathfrak {sl}_2)$-modules: K. Iohara, G. I. Lehrer and R. B. Zhang; Represent. Theory 25 (2021), 265-299; DOI: https://doi.org/10.1090/ert/568; Published electronically: April 20, 2021; PDF

Finite dimensional semigroups of unitary endomorphisms of standard subspaces: Karl-H. Neeb; Represent. Theory 25 (2021), 300-343; DOI: https://doi.org/10.1090/ert/566; Published electronically: April 27, 2021; PDF

Dilogarithm and higher $\mathscr {L}$-invariants for $\mathrm {GL}_3(\mathbf {Q}_p)$: Zicheng Qian; Represent. Theory 25 (2021), 344-411; DOI: https://doi.org/10.1090/ert/567; Published electronically: May 3, 2021; PDF

On induction of class functions: G. Lusztig; Represent. Theory 25 (2021), 412-421; DOI: https://doi.org/10.1090/ert/561; Published electronically: May 7, 2021; PDF

Equivalence of categories between coefficient systems and systems of idempotents: Thomas Lanard; Represent. Theory 25 (2021), 422-439; DOI: https://doi.org/10.1090/ert/572; Published electronically: June 2, 2021; PDF

Quivers for $\mathrm {SL}_{2}$ tilting modules: Daniel Tubbenhauer and Paul Wedrich; Represent. Theory 25 (2021), 440-480; DOI: https://doi.org/10.1090/ert/569; Published electronically: June 3, 2021; PDF

Eulerianity of Fourier coefficients of automorphic forms: Dmitry Gourevitch, Henrik P. A. Gustafsson, Axel Kleinschmidt, Daniel Persson and Siddhartha Sahi; Represent. Theory 25 (2021), 481-507; DOI: https://doi.org/10.1090/ert/565; Published electronically: June 7, 2021; PDF

On unitary representations of algebraic groups over local fields: Bachir Bekka and Siegfried Echterhoff; Represent. Theory 25 (2021), 508-526; DOI: https://doi.org/10.1090/ert/574; Published electronically: June 10, 2021; PDF

Gradings of Lie algebras, magical spin geometries and matrix factorizations: Roland Abuaf and Laurent Manivel; Represent. Theory 25 (2021), 527-542; DOI: https://doi.org/10.1090/ert/573; Published electronically: June 22, 2021; PDF

Irreducible tensor products of representations of covering groups of symmetric and alternating groups: Lucia Morotti; Represent. Theory 25 (2021), 543-593; DOI: https://doi.org/10.1090/ert/576; Published electronically: June 25, 2021; PDF

Littlewood complexes for symmetric groups: Christopher Ryba; Represent. Theory 25 (2021), 594-605; DOI: https://doi.org/10.1090/ert/575; Published electronically: July 13, 2021; PDF

Description of unitary representations of the group of infinite $p$-adic integer matrices: Yury A. Neretin; Represent. Theory 25 (2021), 606-643; DOI: https://doi.org/10.1090/ert/577; Published electronically: July 19, 2021; PDF

Robinson–Schensted–Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field: Maxim Gurevich and Erez Lapid; with an appendix by Mark Shimozono; Represent. Theory 25 (2021), 644-678; DOI: https://doi.org/10.1090/ert/578; Published electronically: July 28, 2021; PDF

Parametrizing torsion pairs in derived categories: Lidia Angeleri Hügel and Michal Hrbek; Represent. Theory 25 (2021), 679-731; DOI: https://doi.org/10.1090/ert/579; Published electronically: July 30, 2021; PDF

Invariant measures on nilpotent orbits associated with holomorphic discrete series: Mladen Božičević; Represent. Theory 25 (2021), 732-747; DOI: https://doi.org/10.1090/ert/580; Published electronically: August 18, 2021; PDF

The Dipper-Du conjecture revisited: Emily Norton; Represent. Theory 25 (2021), 748-759; DOI: https://doi.org/10.1090/ert/581; Published electronically: September 3, 2021; PDF

Representation theoretic embedding of twisted Dirac operators: S. Mehdi and P. Pandžić; Represent. Theory 25 (2021), 760-779; DOI: https://doi.org/10.1090/ert/583; Published electronically: September 20, 2021; PDF

Mirković–Vilonen basis in type $A_1$: Pierre Baumann and Arnaud Demarais; Represent. Theory 25 (2021), 780-806; DOI: https://doi.org/10.1090/ert/582; Published electronically: September 29, 2021; PDF

Parabolic induction via the parabolic pro-$p$ Iwahori–Hecke algebra: Claudius Heyer; Represent. Theory 25 (2021), 807-843; DOI: https://doi.org/10.1090/ert/585; Published electronically: October 5, 2021; PDF

Unipotent representations attached to the principal nilpotent orbit: Lucas Mason-Brown; Represent. Theory 25 (2021), 844-860; DOI: https://doi.org/10.1090/ert/586; Published electronically: October 7, 2021; PDF

Local Langlands correspondence for unitary groups via theta lifts: Rui Chen and Jialiang Zou; Represent. Theory 25 (2021), 861-896; DOI: https://doi.org/10.1090/ert/588; Published electronically: October 13, 2021; PDF

Splitting fields of real irreducible representations of finite groups: Dmitrii V. Pasechnik; Represent. Theory 25 (2021), 897-902; DOI: https://doi.org/10.1090/ert/587; Published electronically: October 14, 2021; PDF

Quasi-split symmetric pairs of $\mathrm {U}(\mathfrak {sl}_n)$ and Steinberg varieties of classical type: Yiqiang Li; Represent. Theory 25 (2021), 903-934; DOI: https://doi.org/10.1090/ert/570; Published electronically: October 21, 2021; PDF

Parametrization, structure and Bruhat order of certain spherical quotients: Pierre-Emmanuel Chaput, Lucas Fresse and Thomas Gobet; Represent. Theory 25 (2021), 935-974; DOI: https://doi.org/10.1090/ert/584; Published electronically: October 21, 2021; PDF

Intertwining maps between $p$-adic principal series of $p$-adic groups: Dubravka Ban and Joseph Hundley; Represent. Theory 25 (2021), 975-993; DOI: https://doi.org/10.1090/ert/571; Published electronically: December 1, 2021; PDF

A proof of Casselman’s comparison theorem: Ning Li, Gang Liu and Jun Yu; Represent. Theory 25 (2021), 994-1020; DOI: https://doi.org/10.1090/ert/591; Published electronically: December 1, 2021; PDF

Typical representations via fixed point sets in Bruhat–Tits buildings: Peter Latham and Monica Nevins; Represent. Theory 25 (2021), 1021-1048; DOI: https://doi.org/10.1090/ert/590; Published electronically: December 16, 2021; PDF

Equivariant multiplicities of simply-laced type flag minors: Elie Casbi; Represent. Theory 25 (2021), 1049-1092; DOI: https://doi.org/10.1090/ert/589; Published electronically: December 16, 2021; PDF