ABE, Noriyuki
 Position
 Associate Professor
 Organization
 Department of Mathematics
 Research Interest
 Representation Theory
 Research Activities

I am interested in the representation theory of reductive groups. Such groups appear in many other branches, such as number theory, physics etc. They also have a precise combinatorial description and many representation theoretic invariants can be calculated explicitely. I study the representation theory of reductive groups over local fields mainly using algebraic methods.
 Papers:
 Noriyuki Abe, On the existence of homomorphisms between principal series representations of complex semisimple Lie groups, J. Algebra 330 (2011), no. 1, 468–481.
Noriyuki Abe, Jacquet Modules of Principal Series Generated by the Trivial KType, Publ. Res. Inst. Math. Sci. 44 (2008), no. 4, 1169–1197.  Keywords
 admissible representation, principal series representation, reductive group
 WebPage
 http://www.math.sci.hokudai.ac.jp/~abenori/indexe.html