The -Cartan matrix specialized at
arXiv:2201.11918 · doi:10.1007/s00209-022-03195-1
Abstract
The -Cartan matrix specialized at , usually called the quantum Cartan matrix, has deep connections with (i) the representation theory of its untwisted quantum affine algebra, and (ii) quantum unipotent coordinate algebra, root system and quantum cluster algebra of kew-symmetric type. In this paper, we study the -Cartan matrix specialized at , called the -quantized Cartan matrix, and investigate the relations with (ii') its corresponding quantum unipotent coordinate algebra, root system and quantum cluster algebra of skew-symmetrizable type.
arXiv comment55p ages. 2v 46 pages, references updated, typos corrected. 3v 51 pages, small changes
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