Homology of Segre powers of Boolean and subspace lattices
Homology of Segre powers of Boolean and subspace lattices
Segre products of posets were defined by Bj\"orner and Welker [J. Pure Appl. Algebra, 198(1-3), 43--55 (2005)]. We investigate the $t$-fold Segre powers of the Boolean lattice $B_n$ and the subspace lattice $B_n(q)$. The case $t=2$ was considered by Yifei Li in [Alg. Comb. 6 (2), 457--469, 2023]. We describe …