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Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\)

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Publication:1002835
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DOI10.1007/s10688-008-0044-0zbMath1213.17010OpenAlexW2069078485MaRDI QIDQ1002835

Alexandre Kirillov

Publication date: 26 February 2009

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-008-0044-0


zbMATH Keywords

representation of Lie algebraspinor representationgeneralized exponentfamily algebra


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)


Related Items (1)

Relative Yangians of Weyl type




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Characters of the nullcone
  • Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits
  • Generalized exponents via Hall-Littlewood symmetric functions
  • Family algebras
  • WEIGHT MULTIPLICITY FREE REPRESENTATIONS, ${\frak g}$-ENDOMORPHISM ALGEBRAS, AND DYNKIN POLYNOMIALS
  • Lie Group Representations on Polynomial Rings




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