On q-Analogues of Bounded Symmetric Domains and Dolbeault Complexes

Details On q-Analogues of Bounded Symmetric Domains and Dolbeault Complexes On q-Analogues of Bounded Symmetric Domains and Dolbeault Complexes

1997-03-03

arxiv.org/abs/q-alg/9703005v2

Mathematics

Quantum Algebra

LaTeX 2.09, 23 pages, vaksman@ilt.kharkov.ua, sinelshchikov@ilt.kharkov.ua, some misprints are corrected

Scientific paper

A very well known result by Harish-Chandra claims that any Hermitian symmetric space of non-compact type admits a canonical embedding into a complex vector space $V$. The image of this embedding is a bounded symmetric domain in $V$. This work provides a construction of q-analogues of a polynomial algebra on $V$ and the differential algebra of exterior forms on $V$. A way of producing a q-analogue of the bounded function algebra in a bounded symmetric domain is described. All the constructions are illustrated by detailed calculations in the case of the simplest Hermitian symmetric space $SU(1,1)/U(1)$. The development of these ideas can be found in math.QA/9803110 and math.QA/9809038 .

Affiliated with

Also associated with

No associations

Rating

On q-Analogues of Bounded Symmetric Domains and Dolbeault Complexes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On q-Analogues of Bounded Symmetric Domains and Dolbeault Complexes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On q-Analogues of Bounded Symmetric Domains and Dolbeault Complexes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-47506