DIFFERENTIAL FORMS ON REGULAR AFFINE ALGEBRA

Abstract

A mathematical discussion of the algebras of differential forms is treated as a special combination of linear algebra and homological alegbra. There is specific identification of this particular exterior algebra as applied to canical graded algebra based on the Tor functor and obtained by the cohomology of differential forms from the ext functor to a universal algebra i. e. Lie algebra. Attention is directed chiefly to a regular affine algebra, K-algebra, which is Noetherian with a finite Krull dimension, i. e. the largest non-negative integer.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
AD0263322

Entities

People

  • Alex Rosenberg
  • Bertram Kostant
  • G. Hochschild

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Algebra
  • Identification
  • Linear Algebra
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.