**Lie Algebras (Q)**

*Last offered Spring 2014*

A Lie algebra is a vector space endowed with a multiplication operation known as a bracket. They have applications to a wide variety of mathematical fields such as geometry, representation theory, combinatorics, and mathematical physics. This course will cover the basic theory of Lie algebras, including solvable and nilpotent Lie algebras, Cartan subalgebras, the Killing form, root systems, the Weyl group, Dynkin diagrams, and Cartan matrices. Special attention will be paid to examples that highlight the importance of Lie algebras in modern mathematics.

**lecture**

*Class Format:***evaluation will be based primarily on homework assignments, exams, projects, and class participation**

*Requirements/Evaluation:*

*Additional Info:*

*Additional Info2:***MATH 355 or 317 or permission of the instructor**

*Prerequisites:***senior Math majors**

*Enrollment Preference:*

*Department Notes:*

*Material and Lab Fees:*

*Distribution Notes:***Division III,Quantitative and Formal Reasoning**

*Divisional Attributes:*

*Other Attributes:***40**

*Enrollment Limit:***20**

*Expected Enrollment:***3901**

*Class Number:*CLASSES | ATTR | INSTRUCTORS | TIMES | CLASS NUMBER |
---|---|---|---|---|

MATH 432 LEC Lie Algebras (Q) | Edward D. Hanson |