CONTACT
INFO
Tel:
773-325-4219
fax
773-325-7807
email:
wchin 'at' condor {dot) depaul "dot" edu
Research
in Hopf algebras, quantum groups and noncommutative algebra
Click on the link for some older
research articles. Chin's research areas are noncommutative algebra,
Hopf algebras and their actions on rings, quantum groups and coalgebra
representation theory. Algebras are objects with binary operations that
generalize the usual notions for numbers or polynomials. They arose
historically in number theory and algebraic geometry. Hopf algebras
are algebras that have a compatible dual structure, called a coalgebra.
Here instead of the familiar operation of multiplying, one "comultiplies".
Basic examples are group algebras and enveloping algebras of Lie algebras.
Over the last 20 years or so noncommutative and noncocommutative analogs
of the basic examples (with origins in quantum physics) have been intensively
studied . These objects are called quantum groups. The representation
theory of quantum groups and and abstract coalgebras are facilitated by
methods from the theory of representations of algebras, including quiver
methods. Chin is also
interested in the stochastic modeling of games of chance. For some more recent research articles, see the math arxiv.
Math
Links
|MathSciNet|Front
for Math ArXiv|Bell's
List of Ring Theorists| |Representations
and Cohomology|Mathematically
correct.com|
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