Open AccessFIELD OF INVARIANTS OF BORELEAN GROUP OF ADJOINT REPRESENTATION OF GL(n,K)
Author(s) -
K. A. Vyatkina
Publication year - 2014
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2014-20-3-34-40
Subject(s) - mathematics , invariant (physics) , pure mathematics , adjoint representation , lie group , group (periodic table) , generating set of a group , algebraic group , invariant theory , algebraic number , representation theory , algebra over a field , mathematical analysis , geometry , physics , mathematical physics , quantum mechanics
The paper is devoted to invariant theory problems, in particular to the problem of nding generators of invariant elds in an explicit form. The set of generators is given for invariant eld of unitriangular group concerning the ad-joint representation of GL(n, K) group. Moreover, the set of generators of Borel group for the eld of invariants is constructed and their algebraic independence is proved. Lie group;adjoint representation;eld of invariant;generators of the eld of invariants;Borel group;