Mathematical Sciences: Noncommutative Algebras

Information

  • NSF Award
  • 8901873
Owner
  • Award Id
    8901873
  • Award Effective Date
    6/15/1989 - 35 years ago
  • Award Expiration Date
    5/31/1991 - 33 years ago
  • Award Amount
    $ 20,000.00
  • Award Instrument
    Interagency Agreement

Mathematical Sciences: Noncommutative Algebras

This research is concerned with the structure of certain noncommutative algebras. The main concern is the structure of algebras which arise as deformations of fixed rings of the Weyl algebras. The techniques used to study these algebras involve the intertwining of ideas from the theory of Lie algebras and algebraic geometry. The principle investigator will also pursue the study of enveloping algebras, focusing on the problem of calculating the K-theory of primitive factors of the enveloping algebra of a semi-simple Lie algebra. Noncommutative ring theory represents the study of an algebraic structure possessing an addition and a noncommutative multiplication. K-theory represents the evolved algebraic theory of vector spaces and linear mappings. This project is concerned with the structure, K-theory and state-space of certain noncommutative rings.

  • Program Officer
    Ann K. Boyle
  • Min Amd Letter Date
    6/20/1989 - 35 years ago
  • Max Amd Letter Date
    7/24/1990 - 33 years ago
  • ARRA Amount

Institutions

  • Name
    National Security Agency
  • City
    Fort George G Meade
  • State
    MD
  • Country
    United States
  • Address
    9800 Savage Road
  • Postal Code
    207556643

Investigators

  • First Name
    Marvin
  • Last Name
    Wunderlich
  • Start Date
    6/15/1989 12:00:00 AM

FOA Information

  • Name
    Other Applications NEC
  • Code
    99
  • Name
    Mathematics
  • Code
    21