Invariants of Unipotent Transformations Acting on Noetherian Relatively Free Algebras

Drensky, Vesselin

Serdica Mathematical Journal (2004)

  • Volume: 30, Issue: 2-3, page 395-404
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 16R10, 16R30.The classical theorem of Weitzenböck states that the algebra of invariants K[X]^g of a single unipotent transformation g ∈ GLm(K) acting on the polynomial algebra K[X] = K[x1, . . . , xm] over a field K of characteristic 0 is finitely generated.Partially supported by Grant MM-1106/2001 of the Bulgarian National Science Fund.

How to cite

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Drensky, Vesselin. "Invariants of Unipotent Transformations Acting on Noetherian Relatively Free Algebras." Serdica Mathematical Journal 30.2-3 (2004): 395-404. <http://eudml.org/doc/219628>.

@article{Drensky2004,
abstract = {2000 Mathematics Subject Classification: 16R10, 16R30.The classical theorem of Weitzenböck states that the algebra of invariants K[X]^g of a single unipotent transformation g ∈ GLm(K) acting on the polynomial algebra K[X] = K[x1, . . . , xm] over a field K of characteristic 0 is finitely generated.Partially supported by Grant MM-1106/2001 of the Bulgarian National Science Fund.},
author = {Drensky, Vesselin},
journal = {Serdica Mathematical Journal},
keywords = {Noncommutative Invariant Theory; Unipotent Transformations; Relatively Free Algebras; noncommutative invariant theory; unipotent transformations; relatively free algebras; algebras of invariants; trace algebras; generic matrices},
language = {eng},
number = {2-3},
pages = {395-404},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Invariants of Unipotent Transformations Acting on Noetherian Relatively Free Algebras},
url = {http://eudml.org/doc/219628},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Drensky, Vesselin
TI - Invariants of Unipotent Transformations Acting on Noetherian Relatively Free Algebras
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 2-3
SP - 395
EP - 404
AB - 2000 Mathematics Subject Classification: 16R10, 16R30.The classical theorem of Weitzenböck states that the algebra of invariants K[X]^g of a single unipotent transformation g ∈ GLm(K) acting on the polynomial algebra K[X] = K[x1, . . . , xm] over a field K of characteristic 0 is finitely generated.Partially supported by Grant MM-1106/2001 of the Bulgarian National Science Fund.
LA - eng
KW - Noncommutative Invariant Theory; Unipotent Transformations; Relatively Free Algebras; noncommutative invariant theory; unipotent transformations; relatively free algebras; algebras of invariants; trace algebras; generic matrices
UR - http://eudml.org/doc/219628
ER -

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