We give the Bernstein polynomials for basic matrix entries of irreducible unitary Ε½ . representations of compact Lie group SU 2 . We also give an application to the Ε½ . analytic continuation of certain distributions on SU 2 , and finally we briefly describe the Bernstein polynomial for B = B-semi-in
β¦ LIBER β¦
On extensions of representations for compact Lie groups
β Scribed by Jin-Hwan Cho; Min Kyu Kim; Dong Youp Suh
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 132 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0022-4049
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The usual formula for Hermite polynomials on \(\mathbf{R}^{d}\) is extended to a compact Lie group \(G\), yielding an isometry of \(L^{2}\left(G, p_{1}\right)\), where \(p_{1}\) is the heat kernel measure at time one, with a natural completion of the universal enveloping algebra of \(G\). The existe