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- W2616112620 abstract "We study ${mathbb Z}$-graded thread $W^+$-modules $$V=oplus_i V_i, ; dim{V_i}=1, -infty le k< i < Nle +infty, ; dim{V_i}=0, ; {rm ; otherwise},$$ over the positive part $W^+$ of the Witt (Virasoro) algebra $W$. There is well-known example of infinite-dimensional ($k=-infty, N=infty$) two-parametric family $V_{lambda, mu}$ of $W^+$-modules induced by the twisted $W$-action on tensor densities $P(x)x^{mu}(dx)^{-lambda}, mu, lambda in {mathbb K}, P(x) in {mathbb K}[t]$. Another family $C_{alpha, beta}$ of $W^+$-modules is defined by the action of two multiplicative generators $e_1, e_2$ of $W^+$ as $e_1f_i=alpha f_{i+1}$ and $e_2f_j=beta f_{j+2}$ for $i,j in {mathbb Z}$ and $alpha, beta$ are two arbitrary constants ($e_if_j=0, i ge 3$). We classify $(n+1)$-dimensional graded thread $W^+$-modules for $n$ sufficiently large $n$ of three important types. New examples of graded thread $W^+$-modules different from finite-dimensional quotients of $V_{lambda, mu}$ and $C_{alpha, beta}$ were found." @default.
- W2616112620 created "2017-05-26" @default.
- W2616112620 creator A5047019963 @default.
- W2616112620 date "2017-05-17" @default.
- W2616112620 modified "2023-09-27" @default.
- W2616112620 title "Graded Thread Modules over the Positive Part of the Witt (Virasoro) Algebra" @default.
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