### Abstract

Let double struck F sign be an algebraically closed field of characteristic p and H be an almost simple group or a central extension of an almost simple group. An important problem in representation theory is to classify the subgroups G of H and double struck F signH-modules V such that the restriction V↓ _{G} is irreducible. For example, this problem is a natural part of the program of describing maximal subgroups in finite classical groups. In this paper we investigate the case of the problem where H is the Schur's double cover Â _{n} or Ŝ _{n}.

Original language | English (US) |
---|---|

Pages (from-to) | 1971-1999 |

Number of pages | 29 |

Journal | Transactions of the American Mathematical Society |

Volume | 356 |

Issue number | 5 |

DOIs | |

State | Published - May 2004 |

Externally published | Yes |

### Fingerprint

### Keywords

- Finite groups
- Representation theory

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Transactions of the American Mathematical Society*,

*356*(5), 1971-1999. https://doi.org/10.1090/S0002-9947-03-03364-6

**On restrictions of modular spin representations of symmetric and alternating groups.** / Kleshchev, Alexander S.; Tiep, Pham Huu.

Research output: Contribution to journal › Article

*Transactions of the American Mathematical Society*, vol. 356, no. 5, pp. 1971-1999. https://doi.org/10.1090/S0002-9947-03-03364-6

}

TY - JOUR

T1 - On restrictions of modular spin representations of symmetric and alternating groups

AU - Kleshchev, Alexander S.

AU - Tiep, Pham Huu

PY - 2004/5

Y1 - 2004/5

N2 - Let double struck F sign be an algebraically closed field of characteristic p and H be an almost simple group or a central extension of an almost simple group. An important problem in representation theory is to classify the subgroups G of H and double struck F signH-modules V such that the restriction V↓ G is irreducible. For example, this problem is a natural part of the program of describing maximal subgroups in finite classical groups. In this paper we investigate the case of the problem where H is the Schur's double cover Â n or Ŝ n.

AB - Let double struck F sign be an algebraically closed field of characteristic p and H be an almost simple group or a central extension of an almost simple group. An important problem in representation theory is to classify the subgroups G of H and double struck F signH-modules V such that the restriction V↓ G is irreducible. For example, this problem is a natural part of the program of describing maximal subgroups in finite classical groups. In this paper we investigate the case of the problem where H is the Schur's double cover Â n or Ŝ n.

KW - Finite groups

KW - Representation theory

UR - http://www.scopus.com/inward/record.url?scp=2142794644&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2142794644&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-03-03364-6

DO - 10.1090/S0002-9947-03-03364-6

M3 - Article

AN - SCOPUS:2142794644

VL - 356

SP - 1971

EP - 1999

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 5

ER -