VARIETIES OF ELEMENTARY ABELIAN LIE ALGEBRAS AND DEGREES OF MODULES

期刊： REPRESENTATION THEORY, 2021; 25 ()

Let (g, [p]) be a restricted Lie algebra over an algebraically closed field k of characteristic p >= 3. Motivated by the behavior of geometric inva......

SEMISIMPLE CHARACTERS FOR INNER FORMS II: QUATERNIONIC FORMS OF p-ADIC CLASSICAL GROUPS (p ODD)

期刊： REPRESENTATION THEORY, 2020; 24 ()

In this article we consider the set G of rational points of a quaternionic form of a symplectic or an orthogonal group defined over a non-Archimedean ......

JANTZEN FILTRATION OF WEYL MODULES, PRODUCT OF YOUNG SYMMETRIZERS AND DENOMINATOR OF YOUNG'S SEMINORMAL BASIS

期刊： REPRESENTATION THEORY, 2020; 24 ()

Let G be a connected reductive algebraic group over an algebraically closed field of characteristic p > 0, Delta(lambda) denote the Weyl module of ......

JORDAN DECOMPOSITIONS OF COCENTERS OF REDUCTIVE p-ADIC GROUPS

期刊： REPRESENTATION THEORY, 2019; 23 ()

Cocenters of Hecke algebras H play an important role in studying mod l or C harmonic analysis on connected p-adic reductive groups. On the other hand,......

JIF：1.11

COCENTERS AND REPRESENTATIONS OF PRO-p HECKE ALGEBRAS

期刊： REPRESENTATION THEORY, 2017; 21 ( )

In this paper, we study the relation between the cocenter (H) over tilde )over bar> and the representations of an affine pro-p Hecke algebra (H) ov......

JIF：1.0

ON THE NONVANISHING HYPOTHESIS FOR RANKIN-SELBERG CONVOLUTIONS FOR GL(n)(C) x GL(n)(C)

期刊： REPRESENTATION THEORY, 2017; 21 ( )

Inspired by Sun's breakthrough in establishing the nonvanishing hypothesis for Rankin-Selberg convolutions for the groups GL(n)(R) x GL(n-1)(R) and GL......

JIF：1.0

COINCIDENCE OF ALGEBRAIC AND SMOOTH THETA CORRESPONDENCES

期刊： REPRESENTATION THEORY, 2017; 21 ( )

An "automatic continuity" question has naturally occurred since Roger Howe established the local theta correspondence over R: Does the algebraic versi......

JIF：1.0