Perfect Crystals of $U_q(G_2^{(1)})$
Sigenori Yamane
TL;DR
This paper constructs a series of perfect crystals for the quantum affine algebra $U_q(G_2^{(1)})$, advancing the understanding of crystal bases in quantum group theory.
Contribution
It provides explicit constructions of perfect crystals for $U_q(G_2^{(1)})$, a novel contribution to the theory of crystal bases in quantum affine algebras.
Findings
Explicit series of perfect crystals constructed
Enhances understanding of crystal bases for $U_q(G_2^{(1)})$
Supports further research in quantum group representations
Abstract
The notion of perfect crystals was introduced in "Perfect Crystal and Vertex Models", (Internat. J. Modern Phys. A7(1992)449-484) by S-J. Kang et al. In this paper, we give a series of perfect crystals of .
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 · Nonlinear Waves and Solitons · Advanced Topics in Algebra