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- W2964279739 abstract "In the papers [4–6] with Masaki Kashiwara, the author introduced the notion of symmetric crystals and presented the Lascoux–Leclerc–Thibon–Ariki-type conjectures for the affine Hecke algebras of type B. Namely, we conjectured that certain composition multiplicities and branching rules for the affine Hecke algebras of type B are described by using the lower global basis of symmetric crystals of . In the present paper, we prove the existence of crystal bases and global bases of for any symmetric quantized Kac–Moody algebra by using a geometry of quivers (with a Dynkin diagram involution). This is analogous to George Lusztig's geometric construction of U−v and its lower global basis." @default.
- W2964279739 created "2019-07-30" @default.
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- W2964279739 date "2009-02-27" @default.
- W2964279739 modified "2023-10-18" @default.
- W2964279739 title "A Quiver Construction of Symmetric Crystals" @default.
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- W2964279739 doi "https://doi.org/10.1093/imrn/rnp014" @default.
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