Crystal bases for $U_{q}(\Gamma (\sigma _{1},\sigma _{2},\sigma _{3}))$

Crystal Bases for the Quantum

Crystal Ball ® and Design for Six Sigma

In today’s competitive market, businesses are adopting new practices like Design for Six Sigma (DFSS), a customer driven, structured methodology for faster-to-market, higher quality, and less costly new products and services. Monte Carlo simulation and stochastic optimization can help DFSS practitioners understand the variation inherent in a new technology, process, or product, and can be used ...

Crystal Ball for Six Sigma Tutorial

In an increasingly competitive market, businesses are turning to new practices like Six Sigma, a structured methodology for accelerated process improvement, to help reduce costs and increase efficiency. Monte Carlo simulation can help Six Sigma practitioners understand the variation inherent in a process or product, and in turn, can be used to identify and test potential improvements. The benef...

Lecture 2: Crystal Bases

Today I’ll define crystal bases, and discuss their basic properties. This will include the tensor product rule and the relationship between the crystals B(λ) of highest weight modules and the infinity crystal B(∞). I’ll then discuss an intrinsic characterization of crystal lattices and crystal bases in terms of a natural bilinear form (sometimes called “polarization”). Unless otherwise stated, ...

Crystal Bases for the Quantum Superalgebra