(Department of Mathematics, IISER Bhopal)
Growth of Algebraic Structures
|Date||Friday, July 8, 2016|
Algebraic structures (Groups, Monoids and Algebras) are often described in terms of generators and relations. Such a description raises the following questions:
- Describe a normal form for the elements of the algebraic structure in question.
- Whether the structure of this object can be determined in terms of this data.
- How quickly is the algebra growing.
I will discuss the growth of modules over quantum polynomials and an addition theorem for growth that they satisfy.