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math.RT2021
-projectors and fields of -invariants
K. A. Vyatkina, A. N. Panov
We present the general construction of the -projector (the homomorphism of the algebra into its field of -invariants identical on the subalgebra of -invariants). It is sho…
math.RT2014
Field of Borel Group Invariant of adjoint representatnion of the group GL(n, K)
Kseniya Vyatkina
The paper is devoted to invariant theory problems. In particular, to the problem of finding generators of invariant fields in an explicit form. The set of generators is given for i…
math.RT2012★ 3 cited
Field of U-invariants of adjoint representation of the group GL(n,K)
K. A. Vyatkina, A. N. Panov
We obtain system of generators of the field of U-invariants of ajoint representation of the group GL(n,K).