It takes the average reader 1 hour and 52 minutes to read Spectra of Symmetrized Shuffling Operators by Victor Reiner
Assuming a reading speed of 250 words per minute. Learn more
For a finite real reflection group $W$ and a $W$-orbit $\mathcal{O}$ of flats in its reflection arrangement--or equivalently a conjugacy class of its parabolic subgroups--the authors introduce a statistic $\operatorname{noninv}_\mathcal{O}(w)$ on $w$ in $W$ that counts the number of ``$\mathcal{O}$-noninversions'' of $w$. This generalizes the classical (non-)inversion statistic for permutations $w$ in the symmetric group $\mathfrak{S}_n$. The authors then study the operator $\nu_\mathcal{O}$ of right-multiplication within the group algebra $\mathbb{C} W$ by the element that has $\operatorname{noninv}_\mathcal{O}(w)$ as its coefficient on $w$.
Spectra of Symmetrized Shuffling Operators by Victor Reiner is 109 pages long, and a total of 28,231 words.
This makes it 37% the length of the average book. It also has 35% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 34 minutes to read Spectra of Symmetrized Shuffling Operators aloud.
Spectra of Symmetrized Shuffling Operators is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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