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Structure of the algebra of regular differential operators on a basic affine space

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Publication:1235250
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DOI10.1007/BF02028306zbMath0351.17010MaRDI QIDQ1235250

N. N. Shapovalov

Publication date: 1974

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



Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Harmonic analysis on homogeneous spaces (43A85) Infinite-dimensional Lie (super)algebras (17B65) Lie groups (22E99) Lie algebras and Lie superalgebras (17B99)


Related Items (2)

Universal versus relative enveloping algebras: a geometric study of quotients of universal enveloping algebras of semisimple Lie algebras ⋮ DIFFERENTIAL OPERATORS ON AND THE AFFINE GRASSMANNIAN




Cites Work

  • On a conjecture of Gel'fand-Kirillov
  • Canonical factorization of continuous operator functions relative to the circle
  • On a Hilbert space of analytic functions and an associated integral transform part I
  • Lie Group Representations on Polynomial Rings
  • On Some Applications of the Universal Enveloping Algebra of a Semisimple Lie Algebra
  • Unnamed Item
  • Unnamed Item




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