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20-XX Group theory and generalizations
20Gxx Linear algebraic groups and related topics
20G05 Representation theory

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Tamely ramified supercuspidal representations of classical groups. II. Representation theory

Lawrence Morris (1992)

Annales scientifiques de l'École Normale Supérieure

Tamely ramified supercuspidal representations of classical groups. I. Filtrations

Lawrence Morris (1991)

Annales scientifiques de l'École Normale Supérieure

The 1-Cohomology of the Adjoint Module of a Chevalley Group.

Helmut Völklein (1989)

Forum mathematicum

The arithmetic theory of loop groups

Howard Garland (1980)

Publications Mathématiques de l'IHÉS

The based ring of the lowest two-sided cell of an affine Weyl group. II

Nanhua Xi (1994)

Annales scientifiques de l'École Normale Supérieure

The Bauer trees of the exceptional Chevalley groups of type E6.

G. Malle, Gerhard Hiss, Frank Lübeck (1995)

Manuscripta mathematica

The blocks of finite classical groups.

Paul Fong, Bhama Srinivasan (1989)

Journal für die reine und angewandte Mathematik

The Blocks of Finite General Linear and Unitary Groups.

Paul Fong, Bhama Srinivasan (1982)

Inventiones mathematicae

The Capelli identity, the double commutant theorem and multiplicity-free-actions.

Roger Howe, Toru Umeda (1991)

Mathematische Annalen

The characters of the group of rational points of a reductive group with non-connected centre.

G.I. Lehrer, J. Michel, F. Digne (1992)

Journal für die reine und angewandte Mathematik

The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of $SU (2)$ and $SO (3)$ .

Godunov, S.K., Gordienko, V.M. (2004)

Sibirskij Matematicheskij Zhurnal

The Conjugating Representation of a Semisimple Group.

R.W. Richardson (1979)

Inventiones mathematicae

The decomposition numbers of Hecke algebras of type F4 with unequal parameters.

Kirsten Bremke (1994)

Manuscripta mathematica

The Decomposition numbers of the Hecke algebra of type F4.

Meinolf Geck, Klaus Lux (1991)

Manuscripta mathematica

The Decomposition of Tensors over Fields of Prime Characteristic.

Gordon D. James (1980)

Mathematische Zeitschrift

The density of representation degrees

Martin Liebeck, Dan Segal, Aner Shalev (2012)

Journal of the European Mathematical Society

For a group $G$ and a positive real number $x$ , define $d_{G} (x)$ to be the number of integers less than $x$ which are dimensions of irreducible complex representations of $G$ . We study the asymptotics of $d_{G} (x)$ for algebraic groups, arithmetic groups and finitely generated linear groups. In particular we prove an “alternative” for finitely generated linear groups $G$ in characteristic zero, showing that either there exists $α > 0$ such that $d_{G} (x) > x^{α}$ for all large $x$ , or $G$ is virtually abelian (in which case $d_{G} (x)$ is bounded).

The Discrete Series of the Linear Groups SL (n, q).

Gustav I. Lehrer (1972)

Mathematische Zeitschrift

The existence of equivariant pure free resolutions

David Eisenbud, Gunnar Fløystad, Jerzy Weyman (2011)

Annales de l’institut Fourier

Let $A = K [x_{1}, \dots, x_{m}]$ be a polynomial ring in $m$ variables and let $d = (d_{0} < \dots < d_{m})$ be a strictly increasing sequence of $m + 1$ integers. Boij and Söderberg conjectured the existence of graded $A$ -modules $M$ of finite length having pure free resolution of type $d$ in the sense that for $i = 0, \dots, m$ the $i$ -th syzygy module of $M$ has generators only in degree $d_{i}$ .This paper provides a construction, in characteristic zero, of modules with this property that are also $G L (m)$ -equivariant. Moreover, the construction works over rings of the form $A \otimes_{K} B$ where $A$ is a polynomial...

The Faithful Linear Representation of Least Degree of Sn and An over a Field of Characteristic 2.

Ascher Wagner (1976)

Mathematische Zeitschrift

The First Cohomology Group of a Line Bundle on G/B.

Henning Haahr Andersen (1979)

Inventiones mathematicae

Currently displaying 1 – 20 of 41

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