On Kronecker products of spin characters of the double covers of the symmetric groups

Christine Bessenrodt, Alexander Kleshchev

Type: Article

Publication Date: 2001-04-01

Citations: 14

DOI: https://doi.org/10.2140/pjm.2001.198.295

Abstract

In this article, restrictions on the constituents of Kronecker products of spin characters of the double covers of the symmetric groups are derived.This is then used to classify homogeneous and irreducible products of spin characters; as an application of this, certain homogeneous 2-modular tensor products for the symmetric groups are described.

Locations

Pacific Journal of Mathematics - View - PDF

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Works Cited by This (13)

Action	Title	Year	Authors
+	The Representation Theory of the Symmetric Group	1984	James
+	Combinatorics and representations of finite groups	1993	Jørn B. Olsson
+	Connections between the Representations of the Symmetric Group and the Symplectic Group in Characteristic 2	1999	Roderick Gow Alexander Kleshchev
+	On the Kronecker Product of Sn Characters	1993	Yoav Dvir
+	The Spin Representation of the Symmetric Group	1962	A. O. Morris
+	Shifted tableaux and the projective representations of symmetric groups	1989	John R. Stembridge
+	The 2-Blocks of the Covering Groups of the Symmetric Groups	1997	Christine Bessenrodt Jørn B. Olsson
+ PDF Chat	On Kronecker products of complex representations of the symmetric and alternating groups	1999	Christine Bessenrodt Alexander Kleshchev
+ PDF Chat	The Spin Representation of the Symmetric Group	1965	A. O. Morris
+	Encyclopedia of Mathematics and its Applications.	1982	Y. L. L. William B. Jones W. J. Thron