Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Saito, Yoshihisa"'
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Saito, Yoshihisa
Recently, Kuniba, Okado and Yamada proved that the transition matrix of PBW-type bases of the positive-half of a quantized universal enveloping algebra $U_q(\mathfrak{g})$ coincides with a matrix coefficients of the intertwiner between certain irredu
Externí odkaz:
http://arxiv.org/abs/1411.7824
Autor:
Saito, Yoshihisa
Kyoto University (京都大学)
0048
甲第6651
理博第1786号
新制||理||982(附属図書館)
16073
UT51-97-H35
学位規則第4条第1項該当
0048
甲第6651
理博第1786号
新制||理||982(附属図書館)
16073
UT51-97-H35
学位規則第4条第1項該当
Externí odkaz:
http://hdl.handle.net/2433/202423
We prove the connectedness of the crystal, which we introduced in our previous works.
Comment: 32 pages, no figure
Comment: 32 pages, no figure
Externí odkaz:
http://arxiv.org/abs/1203.6468
In the present paper, we give an explicit description of the affine analogs of Berenstein-Zelevinsky data constructed in our previous paper: Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs (arXiv:1009.4526), in
Externí odkaz:
http://arxiv.org/abs/1101.3621
Autor:
Saito, Yoshihisa
In the current paper, we give a quiver theoretical interpretation of Mirkovi\'c-Vilonen polytopes in type $A_n$. As a by-product, we give a new proof of the Anderson-Mirkovi\'c conjecture which describes the explicit forms of the actions of lowering
Externí odkaz:
http://arxiv.org/abs/1010.0086
We give (conjectural) analogs of Berenstein-Zelevinsky data for affine type $A$. Moreover, by using these affine analogs of Berenstein-Zelevinsky data, we realize the crystal basis of the negative part of the quantized universal enveloping algebra of
Externí odkaz:
http://arxiv.org/abs/1009.4526
Autor:
Kondo, Hiroki, Saito, Yoshihisa
In this paper we study the tensor category structure of the module category of the restricted quantum enveloping algebra associated to $\mathfrak{sl}_2$. Indecomposable decomposition of all tensor products of modules over this algebra is completely d
Externí odkaz:
http://arxiv.org/abs/0901.4221
Publikováno v:
SIGMA 5 (2009), 010, 12 pages
We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra $gl_N$. The main ingredient is a special class of the shifted non-symmetric Jack polynomials. It may be regarded as a shifted versi
Externí odkaz:
http://arxiv.org/abs/0810.2581
Autor:
Saito, Yoshihisa
We give a crystal structure on the set of all irreducible components of Lagrangian subvarieties of quiver varieties. One con show that, as a crystal, it is isomorphic to the crystal base of an irreducible highest weight representation of a quantized
Externí odkaz:
http://arxiv.org/abs/math/0111232