Classical limit of the scaled elliptic algebra A(h,eta)((sl)over-cap(2))

• The classical limit of the scaled elliptic algebra A((h) over bar eta)( (2)) is investigated. The limiting Lie algebra is described in two equivalent ways: as a central extension of the algebra of generalized automorphic sl(2) valued functions on a strip and as an extended algebra of decreasing automorphic sl(2) 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 A(q,p)( (2)) is also briefly presented.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

distributions

infinite-dimensional representations

bialgebra

quantum elliptic algebra

Publication and Content Type

art (subject category)

ref (subject category)