Modular representation theory is a branch of mathematics and that part of representation theory that studies linear representations of finite groups over a field k of positive characteristic as well as having applications to group theory modular representations arise naturally in other branches of mathematics such as algebraic geometry . Modular representation theory played a key role in the classification of finite simple groups more recently beginning with work of lascoux leclerc and thibon deep connections have been found with the representation theory of quantum groups and modular representation theory for example of the symmetric group. A course in finite group representation theory peter webb february 23 2016 at which point we have modular representations in the theory of error correcting codes many important codes have a non trivial most students who attend an advanced course in group representation theory do not. The representation theory of finite groups can be approached from several points of view one can use the classical group theory or character theory approach keeping the group properties readily at hand or use ring theory or use module theory with emphasis either on the associated rings or algebras or the corresponding category of modules
How it works:
1. Register a Free 1 month Trial Account.
2. Download as many books as you like ( Personal use )
3. No Commitment. Cancel anytime.
4. Join Over 100.000 Happy Readers.
5. That's it. What you waiting for? Sign Up and Get Your Books.