- REPRESENTATIONS FOR LIE SUPERALGEBRA spo(2m,1)
- Lee, Chan-Young ;
- Journal of the Korean Mathematical Society, volume 36, issue 3, 1999, Pages 593~607
Abstract
Let denote the orthosymplectic Lie superalgebra spo (2m,1). For each irreducible -module, we describe its character in terms of tableaux. Using this result, we decompose kV, the k-fold tensor product of the natural representation V of , into its irreducible -submodules, and prove that the Brauer algebra Bk(1-2m) is isomorphic to the centralizer algebra of spo(2m, 1) on kV for m .