Persons: Aukhadiev, Marat Al'fredovich

Persons

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Aukhadiev, Marat Al'fredovich

Senior Lecturer

Candidate of physico-mathematical sciences

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

E-mail:

Website:

Keywords:

compact quantum groups, compact quantum semigroups, $C^*$-algebras, isometric representations of semigroups.

UDC:

512.667, 517.5, 517.98, 512.667.7, 517.98:530.145.6

Subject:

compact quantum groups, compact quantum semigroups, $C^*$-algebras, isometric representations of semigroups, algebraic quantum field theory

Main publications:

Aukhadiev M.A., S.A. Grigoryan, E.V. Lipacheva, “Infinite-Dimensional Compact Quantum Semigroup”, Lobachevskij J. of Math., 32:4 (2011), 304–316
Aukhadiev M.A., Tepoyan V.H., “Isometric Representations of Totally Ordered Semigroups”, Lobachevskij J. of Math., 32:3 (2012), 239–243

	Publications in Math-Net.Ru	Citations
	2014
1.	M. A. Aukhadiev, A. S. Nikitin, A. S. Sitdikov, “Crossed product of the canonical anticommutative relations algebra in the Cuntz algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8, 86–89 ; Russian Math. (Iz. VUZ), 58:8 (2014), 71–73	1
2.	M. A. Aukhadiev, S. A. Grigoryan, E. V. Lipacheva, “Operator approach to quantization of semigroups”, Mat. Sb., 205:3 (2014), 15–40 ; Sb. Math., 205:3 (2014), 319–342	12
	2013
3.	M. A. Aukhadiev, S. A. Grigoryan, E. V. Lipacheva, “On compact quantum semigroup $QS_\mathrm{red}$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 10, 63–68 ; Russian Math. (Iz. VUZ), 57:10 (2013), 54–58	2
4.	M. A. Aukhadiev, “Structure of some compact quantum semigroups”, Vladikavkaz. Mat. Zh., 15:2 (2013), 18–26
	2011
5.	M. A. Aukhadiev, S. A. Grigoryan, E. V. Lipacheva, “A compact quantum semialgebra generated by an isometry”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 10, 89–93 ; Russian Math. (Iz. VUZ), 55:10 (2011), 78–81	7

Presentations in Math-Net.Ru

1.	Operator approach to quantization of semigroups M. A. Aukhadiev, S. A. Grigoryan St. Petersburg Seminar on Representation Theory and Dynamical Systems February 6, 2013 17:00

Organisations