MATH7970 Multilinear Algebra course info.

Multilinear Algebra (Math7970)

Goal: This course gives an introduction of multilinear algebra and some research topics in the area.

Topics:

Review of Linear Algebra

Basics of finite group representation theory

Multilinear maps and tensor spaces

Symmetry class of tensors

Generalized matrix functions

Applications and current research

Lecture notes: Multinear Algebra (pdf file)

Basic references for multilinear algebra:

Multilinear Algebra by Russell Merris , G & B Science Pub (1997)
Foundation of Multilinear Algebra by Bo-Ying Wang, (in Chinese), Beijing Normal University (1985).

Professor: Tin-Yau Tam, 200 Parker Hall, 844-6572, tamtiny@auburn.edu

Grades: Grades are determined by the performance of homework and classroom performance. There is no final examination.

Homeworks:

Homework 1: 1.2 #3, 1.3 #4, 1.4 #4, 1.5 #3, 4

Homework 2: 1.6 #4, 1.8 #3, 1.9 #1, 4, 8, 1.10 #2

Homework 3: 2.1 #2, 2.2 #1, 2, 3, 2.3 #1

Homework 4: 2.3 #3, 2.4 #1, 4, 5, 7, 8

Homework 5: 3.2 #2, 4, 3.3 #2, 3, 3.4 #2

Homework 6: 3.4 #4, 3.5 #1, 2, 5, 3.6 #4

Homework 7: 4.1 #1, 2, 4.2 #3, 4

Homework 8: 4.3 #3, 4, 4.4 #3, 5, 7

Homework 9:

Grades:

A                  90-100
B                  80-89
C                  70-79
D                  0-69

Journals publishing multilinear and linear algebra/matrices:

Journal of Linear Algebra and Its Applications

Journal of Linear and Multilinear Algebra

Electronic Linear Algebra

Operators and Matrices

SIAM Journal on Matrix Analysis and Applications (SIMAX)