The Igusa local zeta function of the simple prehomogeneous vector space ${(GL(1)^4\times SL(2n+1),\Lambda_2\oplus\Lambda_1\oplus\Lambda_1\oplus\Lambda_1)}$
WAKATSUKI, Satoshi
J. Math. Soc. Japan, Tome 57 (2005) no. 4, p. 115-126 / Harvested from Project Euclid
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We determine an explicit form of the Igusa local zeta function of the simple prehomogeneous vector space $(GL(1)^4\times SL(2n+1),\Lambda_2\oplus\Lambda_1\oplus\Lambda_1\oplus\Lambda_1)$ . As for the Igusa local zeta functions and the $p$ -adic $\Gamma$ -factors of regular reducible simple prehomogeneous vector spaces with universally transitive open orbits, a table for explicit forms is completed by our result together with the result in Hosokawa [2].
Publié le : 2005-01-14
Classification:  Igusa local zeta functions,  prehomogeneous vector spaces,  universally transitive open orbits,  11S40,  11S90,  20G25 
@article{1160745816,
     author = {WAKATSUKI, Satoshi},
     title = {The Igusa local zeta function of the simple prehomogeneous vector space ${(GL(1)^4\times SL(2n+1),\Lambda\_2\oplus\Lambda\_1\oplus\Lambda\_1\oplus\Lambda\_1)}$},
     journal = {J. Math. Soc. Japan},
     volume = {57},
     number = {4},
     year = {2005},
     pages = { 115-126},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1160745816}
}

WAKATSUKI, Satoshi. The Igusa local zeta function of the simple prehomogeneous vector space ${(GL(1)^4\times SL(2n+1),\Lambda_2\oplus\Lambda_1\oplus\Lambda_1\oplus\Lambda_1)}$. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp.  115-126. http://gdmltest.u-ga.fr/item/1160745816/