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The Shapovalov determinant and translation functors for the Virasoro algebra

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Publication:865494
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DOI10.1016/j.jalgebra.2006.09.017zbMath1172.17020OpenAlexW2091197966MaRDI QIDQ865494

Emilie B. Wiesner

Publication date: 14 February 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.09.017


zbMATH Keywords

Virasoro algebratranslation functorsShapovalov determinant


Mathematics Subject Classification ID

Virasoro and related algebras (17B68)


Related Items

Semi-infinite cohomology and the linkage principle for \(\mathcal{W}\)-algebras ⋮ Universal Verma modules and the Misra-Miwa Fock space



Cites Work

  • Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras
  • On the structure of Verma modules over Virasoro and Neveu-Schwarz algebras
  • On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
  • Towards the Kazhdan-Lusztig conjecture
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