Plane partition realization of (web of) W$$ \mathcal{W} $$-algebra minimal models
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DOI: 10.1007/jhep02(2019)050
Abstract: A bstractRecently, Gaiotto and Rapčák (GR) proposed a new family of the vertex operator algebra (VOA) as the symmetry appearing at an intersection of five-branes to which they refer as Y algebra. Procházka and Rapčák,… read more here.
Keywords: partition realization; web mathcal; realization web; algebra ... See more keywords
Congruences for k-elongated plane partition diamonds
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DOI: 10.1142/s1793042123501038
Abstract: In the eleventh paper in the series on MacMahons partition analysis, Andrews and Paule [1] introduced the $k$ elongated partition diamonds. Recently, they [2] revisited the topic. Let $d_k(n)$ count the partitions obtained by adding… read more here.
Keywords: partition; andrews paule; partition diamonds; plane partition ... See more keywords
Evacuation Optimization Strategy for Large-Scale Public Building Considering Plane Partition and Multi-Floor Layout
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DOI: 10.3389/fpubh.2022.847399
Abstract: Large-scale public buildings (e.g., stadiums and comprehensive hospitals) in modern cities provide places for various social activities. However, all of these public places encounter the scenario of large passenger flow and crowd gathering, which is… read more here.
Keywords: plane partition; evacuation; multi floor; optimization ... See more keywords