대한수학회지 (Journal of the Korean Mathematical Society)

  • 제36권3호
  • /
  • Pages.593-607
  • /
  • 1999
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

REPRESENTATIONS FOR LIE SUPERALGEBRA spo(2m,1)

  • 발행 : 1999.03.01
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초록

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 .

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참고문헌

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