[PDF][PDF] Morita equivalence of primitive factors of U (sl (2))

TJ Hodges - Contemp. Math, 1992 - researchgate.net
The primitive factors of the enveloping algebra U (sl (2, C) are classified up to Morita
equivalence using the Hattori-Stallings map. Let U= U (sl (2, C)) be the enveloping algebra …

K-theory of Noetherian rings

TJ Hodges - Séminaire d'Algèbre Paul Dubreil et Marie-Paul …, 2006 - Springer
This article is a survey of some aspects of the K-theory of Noetherian rings. Mainly we shall
be concerned with calculating the (Quillen) K-groups for specific Noetherian rings but we …

Picard groups of multiplicative invariants

M Lorenz - Commentarii Mathematici Helvetici, 1997 - Springer
Let S= kA denote the group algebra of a finitely generated free abelian group A over the field
k and let G be a finite subgroup of GL (A). Then G acts on S by means of the unique …

[PS][PS] Grothendieck groups of invariant rings: linear actions of finite groups

KA Brown, M Lorenz - Mathematische Zeitschrift, 1996 - math.temple.edu
Pn XX Page 1 Grothendieck groups of invariant rings: linear actions of nite groups Kenneth
A. Brown and Martin Lorenz May 9, 1995 Abstract Let G be a nite subgroup of GLn(k) …

States on skew group rings and fixed rings

R Alfaro - Communications in Algebra, 1990 - Taylor & Francis
In the case of a (vonNeumann) unit-regular ring R and a finite subgroup G of automorphisms
of R with IGI-'ER, Kado has given in [Kl] and [K2], relations between the pseudo-rank …

[PDF][PDF] State spaces, finite algebras, and skew group rings

R Alfaro - Journal of Algebra, 1991 - academia.edu
K. Goodearl [Gl] considered the State Space, St (R), of a noetherian ring R; and, in joint work
with RB Warfield [GW], described the structure of the sate space of commutative rings …

Grothendieck groups of invariant rings: filtrations

KA Brown, M Lorenz - Proceedings of the London Mathematical …, 1993 - academic.oup.com
We investigate the Grothendieck group G0 (R) of finitely generated modules over the ring of
invariants R= SG of the action of a finite group G on an FBN ring S under the assumption that …

[图书][B] Skew group rings and maximal orders

R Martin - 1993 - search.proquest.com
In this thesis, we are concerned with the question of when a skew group ring of a finite group
over a prime Noetherian ring is a maximal order. Contrary to what one might first expect, it is …

[图书][B] Rings of differential operators over projective rational curves

DJ Kausch - 1993 - search.proquest.com
We describe the ring of global differential operators over a singular, rational, projective curve
over an algebraically closed field of characteristic zero. For a affine curves, it is well-known …

Grothendieck groups of invariant rings: Examples

KA Brown, M Lorenz - Communications in algebra, 1994 - Taylor & Francis
The Grothendieck group of the ring of invariants R of a finite group acting linearly in coprime
characteristic on the symmetric algebra S= S (V) is investigated. It is shown that where F is a …