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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Timofey Grigoryev
Representations of the Lie Superalgebra q(N)
Mathematics
(Master’s programme)
10
2019
We study the center of the universal enveloping algebra of the strange Lie superalgebra

q(N). We obtain an analogue of the well known Perelomov-Popov formula for central

elements of this algebra ——- an expression of the central characters through the highest

weight parameters. One more result is its explicit expression in terms of two-row Schur Q-functions.

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