Shilov boundary for "holomorphic functions" on a quantum matrix ball
Daniil Proskurin, Lyudmila Turowska
TL;DR
This paper characterizes the Shilov boundary ideal for a quantum analog of holomorphic functions on a matrix ball, advancing the understanding of boundary behavior in non-commutative function theory.
Contribution
It identifies the Shilov boundary ideal for a q-analog of holomorphic functions on a 2x2 matrix ball, a novel result in quantum function theory.
Findings
Description of the Shilov boundary ideal for the quantum matrix ball
Extension of classical boundary concepts to non-commutative setting
Advancement in quantum analogs of holomorphic function theory
Abstract
We describe the Shilov boundary ideal for a q-analog of algebra of holomorphic functions on the unit ball in the space of matrices.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Operator Algebra Research · Advanced Topics in Algebra