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Conjugacy classes in the symplectic Renner monoid
- Source :
-
Journal of Algebra . Oct2010, Vol. 324 Issue 8, p1940-1951. 12p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper we study conjugacy classes of the symplectic Renner monoid , and find the following results. Each element in is a join of strictly disjoint cycles and strings. There is an explicit one-to-one correspondence between conjugacy classes and symplectic partitions. A formula for calculating the number of conjugacy classes is obtained. An explicit formula for computing the number of elements in each conjugacy class is given. A relationship between conjugacy classes and Munn conjugacy classes is described. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 324
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 53332443
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2010.06.001