G. Arutyunov

activity

19932026

most citedBethe Ansatz for Quantum Strings

587 citations · 7.1k across the 87 of their papers we have counts for

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hep-th1993★ 5 cited

Quantization of the external algebra on a Poisson-Lie group

G. E. Arutyunov, P. B. Medvedev

We show that the external algebra $M$ on $G L (N)$ can be equipped with the graded Poisson brackets compatible with the group action. We prove that there are only two graded Poi…

hep-th1993★ 3 cited

Uniqueness of $U_{q} (N)$ as a quantum gauge group and representations of its differential algebra

I. Ya. Aref'eva, G. E. Arutyunov

To construct a quantum group gauge theory one needs an algebra which is invariant under gauge transformations. The existence of this invariant algebra is closely related with the e…

hep-th1993

Representations of the compact quantum group $S U_{q} (N)$ and geometrical quantization

G. E. Arutyunov

The method of geometrical quantization of symplectic manifolds is applied to constructing infinite dimensional irreducible unitary representations of the algebra of functions on th…

Quantization of the external algebra on a Poisson-Lie group

Uniqueness of Uq​(N) as a quantum gauge group and representations of its differential algebra

Representations of the compact quantum group SUq​(N) and geometrical quantization

Uniqueness of $U_{q} (N)$ as a quantum gauge group and representations of its differential algebra

Representations of the compact quantum group $S U_{q} (N)$ and geometrical quantization