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Eigenvalues of a Laplacian and Commutative Lie Subalgebras

In: Collected Papers

Author

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  • Bertram Kostant

    (Massachusetts Institute of Technology, Department of Mathematics)

Abstract

If K is a compact semi-simple Lie group and g is the complexification of its Lie algebra then one knows that the algebra ? of (Maurer-Cartan) complex-valued left invariant differential forms may be naturally identified with the exterior algebra ?g. Also, one knows then that ?g is stable under the Laplacian defined with respect to the canonical Riemannian metric on K.

Suggested Citation

  • Bertram Kostant, 2009. "Eigenvalues of a Laplacian and Commutative Lie Subalgebras," Springer Books, in: Anthony Joseph & Shrawan Kumar & Michèle Vergne (ed.), Collected Papers, pages 469-481, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-09583-7_19
    DOI: 10.1007/b94535_19
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