Small-dimensional projective representations of symmetric and alternating groups

Alexander S. Kleshchev; Pham Huu Tiep

doi:10.2140/ant.2012.6.1773

Small-dimensional projective representations of symmetric and alternating groups

Alexander S. Kleshchev
, Pham Huu Tiep

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We classify the irreducible projective representations of symmetric and alternating groups of minimal possible and second minimal possible dimensions, and get a lower bound for the third minimal dimension. On the way we obtain some new results on branching which might be of independent interest.

Original language	English (US)
Pages (from-to)	1773-1816
Number of pages	44
Journal	Algebra and Number Theory
Volume	6
Issue number	8
DOIs	https://doi.org/10.2140/ant.2012.6.1773
State	Published - 2012
Externally published	Yes

Keywords

Double covers of symmetric groups
Modular representation theory

ASJC Scopus subject areas

Algebra and Number Theory

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10.2140/ant.2012.6.1773

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abstract = "We classify the irreducible projective representations of symmetric and alternating groups of minimal possible and second minimal possible dimensions, and get a lower bound for the third minimal dimension. On the way we obtain some new results on branching which might be of independent interest.",

keywords = "Double covers of symmetric groups, Modular representation theory",

author = "Kleshchev, \{Alexander S.\} and Tiep, \{Pham Huu\}",

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AU - Tiep, Pham Huu

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AB - We classify the irreducible projective representations of symmetric and alternating groups of minimal possible and second minimal possible dimensions, and get a lower bound for the third minimal dimension. On the way we obtain some new results on branching which might be of independent interest.

KW - Double covers of symmetric groups

KW - Modular representation theory

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UR - https://www.scopus.com/pages/publications/84874202257#tab=citedBy

U2 - 10.2140/ant.2012.6.1773

DO - 10.2140/ant.2012.6.1773

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SN - 1937-0652

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JF - Algebra and Number Theory

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ER -

Small-dimensional projective representations of symmetric and alternating groups

Abstract

Keywords

ASJC Scopus subject areas

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