Home Page - Donald S. Passman



Donald S. Passman is the Richard Brauer Emeritus Professor of Mathematics
at the University of Wisconsin-Madison.

His research interests include ring theory, group theory, group rings
and enveloping algebras of Lie algebras.

Vita
Publication List
Abstracts and PDF files
Mathematical Genealogy

Algebra Research Wiki Page

Address:

Mathematics Department
University of Wisconsin
480 Lincoln Drive
Madison, Wisconsin 53706

Office: Room 607 Van Vleck Hall
Phone: 608. 263-7901
Fax: 608. 263-8891
Email:
passman@math.wisc.edu



News:


Marj's Award
(2014)

Marj

T. J. Mertz




Samuel
(2012)
age 18

Rebecca
(2014)
age 17





Abraham
(2014)
age 15

Jordan
(2014)
age 14

Eve
(2014)
age 10






"Groups, Rings and Algebras" Conference:

Announcement
Official Web Site
Program
Conference Photos
Eric Behr's Photos or from Eric's Site
Chia-Hsin Liu's Photos or from Eric's Site
Pamela Passman's Photos
Don's After-Dinner Speech



"Groups, Rings, Group Rings and Hopf Algebras" Conference:

Preliminary Information
Schedule
Group Photo
Birthday Cake Photos 1
Birthday Cake Photos 2
Participants
Don's After-Dinner Speech



Recent Papers (from 1995):

  • Burnside's theorem for Hopf algebras (with Declan Quinn)
  • Involutory Hopf algebras (with Declan Quinn)
  • Derivations of skew polynomial rings (with J. Marshall Osborn)
  • Delta ideals of Lie color algebras (with Jeffrey Bergen)
  • Semiprimitivity of group algebras: a survey
  • Semiprimitivity of group algebras of locally finite groups II
  • The semiprimitivity problem for group algebras of locally finite groups
  • Representations of the Gupta-Sidki group (with W. V. Temple)
  • The semiprimitivity problem for twisted group algebras of locally finite groups
  • Ultraproducts and the group ring semiprimitivity problem
  • Group algebras whose units satisfy a group identity II
  • Construction of free subgroups in the group of units of modular group algebras (with J. Z. Goncalves)
  • The Jacobson radical of group rings of locally finite groups
  • Semiprimitivity of group algebras: past results and recent progress
  • Enveloping algebras of Lie color algebras: primeness versus graded-primeness (with Jeffrey Bergen)
  • Group algebras with units satisfying a group identity II (with Chia-Hsin Liu)
  • The semiprimitivity of group algebras
  • Semi-invariants and weights of group algebras of finite groups (with P. Wauters)
  • Noetherian down-up algebras (with Ellen Kirkman and Ian M. Musson)
  • Simple Lie algebras of Witt type
  • Simple Lie Color algebras of Witt type
  • Groups with all irreducible modules of finite degree (with W. V. Temple)
  • Simple Lie algebras of special type (with J. Bergen)
  • Trace methods in twisted group rings
  • Unitary units in group algebras (with J. Z. Goncalves)
  • Invariant ideals of abelian group algebras and representations of groups of Lie type (with A. E. Zalesskii)
  • Invariant ideals of abelian group algebras under the multiplicative action of a field, I (with A. E. Zalesskii)
  • Invariant ideals of abelian group algebras under the multiplicative action of a field, II (with J. M. Osterburg and A. E. Zalesskii)
  • Free unit groups in group algebras (with J. Z. Goncalves)
  • Twisted group algebras and generalized polynomial identities
  • Polycyclic restricted Lie algebras (with V. M. Petrogradsky)
  • Trace methods in twisted group rings, II (with J. M. Osterburg)
  • Invariant ideals and polynomial forms
  • Free unit groups in algebras (with J. Z. Goncalves)
  • Invariant ideals of abelian group algebras under the action of simple linear groups
  • Finitely generated simple algebras: a question of B. I. Plotkin (with A. I. Lichtman)
  • Free products in linear groups
  • Embedding free products in the unit group of an integral group ring (with J. Z. Goncalves)
  • Filtrations in semisimple rings
  • Filtrations in semisimple Lie algebras, I (with Y. Barnea)
  • Filtrations in semisimple Lie algebras, II (with Y. Barnea)
  • Linear groups and group rings (with J. Z. Goncalves)
  • Polynomial and inverse forms
  • Prime Lie rings of derivations of commutative rings in characteristic 2 (with Chia-Hsin Liu)
  • "Multiplicative Invariant Theory" by Martin Lorenz, (a book review)
  • A description of incidence rings of group automata (with A. V. Kelarev)
  • Free subgroups in linear groups and group rings
  • Finitary actions and invariant ideals
  • Involutions and free pairs of bicyclic units in integral group rings (with J. Z. Goncalves)
  • Filtrations in semisimple Lie algebras, III
  • Multiplicative Jordan decomposition in group rings of 3-groups (with Chia-Hsin Liu)
  • Multiplicative Jordan decomposition in group rings of 2,3-groups (with Chia-Hsin Liu)
  • Invariant ideals of abelian group algebras under the torus action of a field, I
  • Character theory and group rings
  • Invariant ideals of abelian group algebras under the torus action of a field, II
  • Involutions and free pairs of Bass cyclic units in integral group rings (with J. Z. Goncalves)
  • Rewritable groups (with M. I. Elashiry)
  • Elementary bialgebra properties of group rings and enveloping rings: An introduction to Hopf algebras
  • Multiplicative Jordan decomposition in group rings of 3-groups, II (with Chia-Hsin Liu)
  • Multiplicative Jordan decomposition in group rings with a Wedderburn component of degree 3 (with Chia-Hsin Liu)
  • Explicit free groups in division rings (with J. Z. Goncalves)
  • Involutions and free pairs of bicyclic units in integral group rings of non-nilpotent groups (with J. Z. Goncalves)
  • Groups with certain normality conditions (with Chia-Hsin Liu)
  • Free groups in normal subgroups of the multiplicative group of a division ring (with J. Z. Goncalves)


Abstracts and PDF files.



Family in Minnetonka (2006)

Tom
Sam
Barbara
Eve
Pam
Jon

Rebecca
Jordan
Marj
Don
Abe



In the Forbidden City (1992)




At Stonehenge (2005)




At the Taj Mahal (2006)





Holy Toledo, we are in Spain (2009)





At the Western Wall (2010)





Family in London (2010)

Eve
Sam
Tom
Rebecca
Don
Abe
Barbara
Jon
Marj
Jordan
Pam




Family in St. Paul (2012)

Rebecca
Tom
Jordan
Jon
Eve (in front)
Sam
Don
Pam
Abe
Marj
Barbara




Family Reunion in Estes Park (2014)

Sam
Tom
Rebecca
Abe
Pam

Eve
Barbara
Don
Marj
Jon
Jordan




At Stewart Glacier, Alaska (2015)






Status:

Home page revised August 2015.