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- W2963377029 abstract "In this paper, we give a recursive formula for the interesting PBW basis [Formula: see text] of composition subalgebras [Formula: see text] of Ringel–Hall algebras [Formula: see text] of cyclic quivers after [Generic extensions and canonical bases for cyclic quivers, Canad. J. Math. 59(6) (2007) 1260–1283], and another construction of canonical bases of [Formula: see text] from the monomial bases [Formula: see text] following [Multiplication formulas and canonical basis for quantum affine, [Formula: see text], Canad. J. Math. 70(4) (2018) 773–803]. As an application, we will determine all the canonical basis elements of [Formula: see text] associated with modules of Loewy length [Formula: see text]. Finally, we will discuss the canonical bases between Ringel–Hall algebras and affine quantum Schur algebras." @default.
- W2963377029 created "2019-07-30" @default.
- W2963377029 creator A5004429143 @default.
- W2963377029 date "2019-04-11" @default.
- W2963377029 modified "2023-10-17" @default.
- W2963377029 title "Remarks on PBW bases of Ringel–Hall algebras of cyclic quivers" @default.
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- W2963377029 doi "https://doi.org/10.1142/s0219498820500541" @default.
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