Some characterizations of the Weil representations of the symplectic and unitary groups

Pham Huu Tiep; Alexander E. Zalesskii

doi:10.1006/jabr.1996.6943

Some characterizations of the Weil representations of the symplectic and unitary groups

Pham Huu Tiep
, Alexander E. Zalesskii

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

83 Scopus citations

Abstract

LetGbe a finite symplectic or unitary group. We characterize the Weil representations ofGvia their restriction to a standard subgroup. Then we complete the determination of complex representations ofGwith specific minimal polynomials of certain elements by showing that they coincide with the Weil representations.

Original language	English (US)
Pages (from-to)	130-165
Number of pages	36
Journal	Journal of Algebra
Volume	192
Issue number	1
DOIs	https://doi.org/10.1006/jabr.1996.6943
State	Published - Jun 1 1997
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1006/jabr.1996.6943

Cite this

@article{3077a16afdbe47bdbdc998d9e628e78b,

title = "Some characterizations of the Weil representations of the symplectic and unitary groups",

abstract = "LetGbe a finite symplectic or unitary group. We characterize the Weil representations ofGvia their restriction to a standard subgroup. Then we complete the determination of complex representations ofGwith specific minimal polynomials of certain elements by showing that they coincide with the Weil representations.",

author = "Tiep, \{Pham Huu\} and Zalesskii, \{Alexander E.\}",

note = "Funding Information: Part of this work has been done in the framework of the collaboration between the Institute for Experimental Mathematics, University of Essen, and the Institute of Mathematics, Academy of Sciences of Belarus. The authors are grateful to Prof. Dr. G. O. Michler and his colleagues at the Institute for Experimental Mathematics for stimulating conversations and their generous hospitality. The first author was supported in part by the Alexander von Humboldt Foundation. The second author acknowledges the financial support of the Volkswagen Foundation.",

year = "1997",

month = jun,

day = "1",

doi = "10.1006/jabr.1996.6943",

language = "English (US)",

volume = "192",

pages = "130--165",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Some characterizations of the Weil representations of the symplectic and unitary groups

AU - Tiep, Pham Huu

AU - Zalesskii, Alexander E.

N1 - Funding Information: Part of this work has been done in the framework of the collaboration between the Institute for Experimental Mathematics, University of Essen, and the Institute of Mathematics, Academy of Sciences of Belarus. The authors are grateful to Prof. Dr. G. O. Michler and his colleagues at the Institute for Experimental Mathematics for stimulating conversations and their generous hospitality. The first author was supported in part by the Alexander von Humboldt Foundation. The second author acknowledges the financial support of the Volkswagen Foundation.

PY - 1997/6/1

Y1 - 1997/6/1

N2 - LetGbe a finite symplectic or unitary group. We characterize the Weil representations ofGvia their restriction to a standard subgroup. Then we complete the determination of complex representations ofGwith specific minimal polynomials of certain elements by showing that they coincide with the Weil representations.

AB - LetGbe a finite symplectic or unitary group. We characterize the Weil representations ofGvia their restriction to a standard subgroup. Then we complete the determination of complex representations ofGwith specific minimal polynomials of certain elements by showing that they coincide with the Weil representations.

UR - https://www.scopus.com/pages/publications/0031165068

UR - https://www.scopus.com/pages/publications/0031165068#tab=citedBy

U2 - 10.1006/jabr.1996.6943

DO - 10.1006/jabr.1996.6943

M3 - Article

AN - SCOPUS:0031165068

SN - 0021-8693

VL - 192

SP - 130

EP - 165

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Some characterizations of the Weil representations of the symplectic and unitary groups

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this