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<div>$B%?%$%H%k!'(BLie algebras attached to a class of Clifford modules;<br>
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<div>existence of lattices, their classification and automorphism groups<br>
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<div>We consider a class of 2 step nilpotent Lie algebras which are attached to a class of Clifford modules.<br>
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<div>We call them pseudo H-type algebras. They are a generalization of Heisenberg algebra.<br>
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<div>First we show the existence of integral lattices and explain how we classify them.
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<div>Then we determine all the cases of their automorphism groups.<br>
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<div>Many properties of this algebra reduce to 49 basic cases by three periodicities, so called Bott periodicity.<br>
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<div>Finally I will discuss about the uniqueness of the integral lattice.<br>
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<div> $B!!(Bhttp://www.ritsumei.ac.jp/accessmap/bkc/<br>
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<div> $B!!(Bhttp://www.ritsumei.ac.jp/campusmap/bkc/<br>
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<div> $B!!(Bhttp://www.ritsumei.ac.jp/file.jsp?id=227632&f=.pdf<br>
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<div> $B!!(Bdtarama [at] fc.ritsumei.ac.jp<br>
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<div>************************************<br>
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<div>Daisuke TARAMA<br>
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<div>Department of Mathematical Sciences<br>
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<div>Ritsumeikan University<br>
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<div>Address: 1-1-1 Nojihigashi,<br>
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<div>Kusatsu, Shiga, 525-8577, Japan<br>
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<div>Office: West Wing (WW) 606<br>
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<div>E-mail: dtarama [at] fc.ritsumei.ac.jp<br>
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<span>************************************</span> </div>
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