Results 131 to 140 of about 340,767 (237)
Zero Action on Perfect Crystals for U_q(G_2^{(1)})
The actions of 0-Kashiwara operators on the U_q(G_2^{(1)})-crystal B_l in [Yamane S., J. Algebra 210 (1998), 440-486] are made explicit by using a similarity technique from that of a U_q'(D_4^{(3)})-crystal.
Kailash C. Misra+2 more
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Affine group representation formalism for four-dimensional, Lorentzian, quantum gravity [PDF]
Ching-Yi Chou, Eyo Eyo Ita, Chopin Soo
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The PBW Filtration, Demazure Modules and Toroidal Current Algebras
Let L be the basic (level one vacuum) representation of the affine Kac-Moody Lie algebra ^g. The m-th space F_m of the PBW filtration on L is a linear span of vectors of the form x_1dots x_lv_0, where l ≤ m, x_i in ^g and v_0 is a highest weight vector ...
Evgeny Feigin
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The Rectangular Representation of the Double Affine Hecke Algebra via Elliptic Schur–Weyl Duality [PDF]
David Jordan, Monica Vazirani
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Zhedanov's algebra AW(3) is considered with explicit structure constants such that, in the basic representation, the first generator becomes the second order q-difference operator for the Askey-Wilson polynomials. It is proved that this representation is
Tom H. Koornwinder
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Non-Local Representation Based Mutual Affine-Transfer Network for Photorealistic Stylization [PDF]
Ying Qu, Zhenzhou Shao, Hairong Qi
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Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras $A_N$, $B_N$, $C_N$, $G_2$, $D_3$, $A_1^{(1)}$, $A_2^{(2)}$, $D^{(2)}_N$ these systems are proved to be ...
Rustem Garifullin+2 more
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Rectangular Schur functions and the basic representation of affine Lie algebras
Hiroshi Mizukawa, Hirofumi Yamada
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A sparse texture representation using affine-invariant regions
Svetlana Lazebnik, C. Schmid, Jean Ponce
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