78 citations · 125 across the 47 of their papers we have counts for
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math.QA2004★ 1 cited
Nilpotent representations of classical quantum groups at roots of unity
Yuuki Abe, Toshiki Nakashima
Properly specializing the parameters in ``Schnizer modules'', for type A,B,C and D, we get its unique primitive vector. Then we show that the module generated by the primitive vect…
math.QA2004
Geometric Crystals on Unipotent Groups and Generalized Young Tableaux
Toshiki Nakashima
We define geometric/unipotent crystal structure on unipotent subgroups of semi-simple algebraic groups. We shall show that in -case, their ultra-discretizations coincide with…
math.QA2004
Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A
Ayumu Hoshino, Toshiki Nakashima
We describe the crystal bases of modified quantum algebras and its connected component containing ``zero vector''by the polyhedral realization method for the types A_n and A^(1)_1.…