## Research: Lie Groups and Representation Theory

# Lie Theory/Representation Theory

Lie theory originated from an attempt to use continuous groups of symmetries to study differential equations. The subject now plays an important role in many areas of mathematics, such as mathematical physics, number theory and geometry. Members of OSU math department study Lie theory as it relates to invariant theory, symmetries in systems of differential equations and automorphic forms. Several OSU researchers investigate the structure and invariants of representations of semisimple Lie groups through computational and geometric methods.

Research Interests | ||
---|---|---|

Associate Professor |
Ph.D., Purdue, 2000. Number Theory, Automorphic Forms, and L-functions. | |

Leticia BarchiniFull Professor |
Ph.D., 1987, U. Nac. de Cordoba, Argentina. Representation theory of semisimple Lie groups and analysis on homogeneous spaces. | |

Birne BinegarFull Professor |
B.S./M.S., U.C.L.A.; Ph.D., U.C.L.A., 1982. Interested in the representation theory of reductive groups and its various manifestions in theoretical physics (via quantization), combinatorics (via Kahzdan-Lusztig theory), algebraic geometry (via associated varities), non-commutative algebra (via universal enveloping algebras), and computational mathematics (via the Atlas for Lie Groups program). | |

Anthony KableFull Professor |
B.Sc. (Hon), Australian National University, 1986; M.Sc., Oxford University, 1989; Ph.D., Oklahoma State, 1997. Representation Theory, Number Theory, and Invariant Theory. | |

Roger ZierauFull Professor |
B.S., Trinity College; Ph.D., Berkeley, 1985. His areas of research include the representation theory of reductive Lie groups and the geometry of homogeneous spaces. |