The Cohomology of the Integer Heisenberg Groups
β Scribed by Soo Teck Lee; Judith A. Packer
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 228 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
We give a closed formula for the cohomology groups of the standard integer lattice in the simply-connected Heisenberg Lie group of dimension 2 n q 1, n g Z q . We also provide a recursion relation involving n for these cohomology groups.
π SIMILAR VOLUMES
Irreducible representations of the convolution algebra M(H n ) of bounded regular complex Borel measures on the Heisenberg group H n are analyzed. For the Segal Bargmann representation \, the C\*-algebra generated by \[M(H n )] is just the C\*-algebra generated by Berezin Toeplitz operators with pos
## Abstract We solve in various spaces the linear equations __L~Ξ±~g__ = __f__ , where __L~Ξ±~__ belongs to a class of transversally elliptic second order differential operators on the Heisenberg group with double characteristics and complexβvalued coefficients, not necessarily locally solvable. (Β© 2