Canonical bases of invariant polynomials for the irreducible reflection groups of types E6, E7, and E8
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.01.017
Abstract: Abstract Given a rank n irreducible finite reflection group W, the W-invariant polynomial functions defined in R n can be written as polynomials of n algebraically independent homogeneous polynomial functions, p 1 ( x )… read more here.
Keywords: canonical bases; groups types; bases invariant; invariant polynomials ... See more keywords
ON CANONICAL BASES AND INDUCTION OF $W$-GRAPHS
Sign Up to like & getrecommendations! Published in 2018 at "Nagoya Mathematical Journal"
DOI: 10.1017/nmj.2018.26
Abstract: A canonical basis in the sense of Lusztig is a basis of a free module over a ring of Laurent polynomials that is invariant under a certain semilinear involution and is obtained from a fixed… read more here.
Keywords: induction graphs; canonical bases; basis; bases induction ... See more keywords
Direct high-throughput deconvolution of non-canonical bases via nanopore sequencing and bootstrapped learning
Sign Up to like & getrecommendations! Published in 2025 at "Nature Communications"
DOI: 10.1038/s41467-025-62347-z
Abstract: The discovery of non-canonical bases (NCBs) in viruses and the development of synthetic xeno-nucleic acids (XNAs) to expand the genetic alphabet has spawned interest in many applications, from viral genomics, to synthetic biology and DNA… read more here.
Keywords: high throughput; canonical bases; non canonical; direct high ... See more keywords