The Octonions by Michael Taylor

Linear Algebra Examples c-4

Lie Groups Beyond an Introduction

This booklet takes the reader from the tip of introductory Lie crew concept to the edge of infinite-dimensional team representations. Merging algebra and research all through, the writer makes use of Lie-theoretic how you can advance a gorgeous concept having broad functions in arithmetic and physics. The e-book at first stocks insights that utilize real matrices; it later is determined by such structural good points as homes of root structures.

Lectures on Tensor Categories and Modular Functors

This booklet offers an exposition of the kinfolk one of the following 3 themes: monoidal tensor different types (such as a class of representations of a quantum group), third-dimensional topological quantum box conception, and 2-dimensional modular functors (which certainly come up in 2-dimensional conformal box theory).

Proper Maps of Toposes

We improve the speculation of compactness of maps among toposes, including linked notions of separatedness. This thought is equipped round models of 'propriety' for topos maps, brought right here in a parallel type. the 1st, giving what we easily name 'proper' maps, is a comparatively susceptible as a result of Johnstone.