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Discrete series of unitary irreducible representations for the noncompact quantum algebra U_q(u(n; 1))доклад на конференции
- Автор: Толстой В.Н.
- Международная Конференция : The International Conference "Conformal Field Theory, Integrable Models and Liouville Gravity"
- Даты проведения конференции: 2009
- Тип доклада: не указан
- Докладчик: Толстой В.Н.
- Место проведения: Cheronogolovka, Russia, Russia
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Аннотация доклада:
For the quantum algebra U_q(gl(n+1)) in its reduction on the subalgebra U_q(gl (n)) an explicit description of a Mickelsson reduction algebra Z_q(gl(n+1);gl(n)) is given in terms of the generators and their defining relations. Using this Z-algebra we describe unitary irreducible representations of a discrete series for the quantum algebra Uq(u(n;1)) which is a real form of U_q(gl(n+1)). Namely, an orthonormal Gelfand -– Graev basis is constructed and actions of the U_q(u(n;1))-generators in this basis are obtained.
- Добавил в систему: Толстой Валерий Николаевич