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Quantum family algebras / Natalia Rozhkovskaya.
LIBRA Diss. POPM2002.105
Available from offsite location
LIBRA QA001 2002 .R893
Available from offsite location
- Format:
- Book
- Manuscript
- Microformat
- Thesis/Dissertation
- Author/Creator:
- Rozhkovskaya, Natalia.
- Language:
- English
- Subjects (All):
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Local Subjects:
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Physical Description:
- viii, 59 pages ; 29 cm
- Production:
- 2002.
- Summary:
- We study algebras of invariants of an action of a semi-simple Lie algebra in the tensor product of the universal enveloping algebra and the endomorphisms of given representation. These algebras were introduced by A. A. Kirillov and are called family algebras. We prove the criterion of commutativity, compute examples of family algebras and the related generalized exponents. We study characteristic identities and prove the formula for quantum eigenvalues in the case of the Lie algebra sl2C .
- Notes:
- Adviser: Alexander Kirillov.
- Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 2002.
- Includes bibliographical references.
- Local Notes:
- University Microfilms order no.: 3043944.
- OCLC:
- 244972042
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