ISSN:
1570-5846
Keywords:
quantum elliptic algebra
;
distributions
;
bialgebra
;
finite-dimensional representations.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The classical limit of the scaled elliptic algebra $$\mathcal{A}$$ ħ,η ( $$\widetilde{\mathfrak{s}\mathfrak{l}}_2$$ ) is investigated. The limiting Lie algebra is described in two equivalent ways: as a central extension of the algebra of generalized automorphic sl2 valued functions on a strip and as an extended algebra of decreasing automorphic sl2 valued functions on the real line. A bialgebra structure and an infinite-dimensional representation in the Fock space are studied. The classical limit of elliptic algebra $$\mathcal{A}$$ q,p ( $$\widetilde{\mathfrak{s}\mathfrak{l}}_2$$ ) is also briefly presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1000645909064