M. Igarashi

activity

20092018

collaborators

4 papers

math.QA2018

$D_{5}^{(1)}$ - Geometric Crystal corresponding to the Dynkin spin node $i = 5$ and its ultra-discretization

Mana Igarashi, Kailash C. Misra, Suchada Pongprasert

Let $g$ be an affine Lie algebra with index set $I = {0, 1, 2, \dots, n}$ and $g^{L}$ be its Langlands dual. It is conjectured that for each Dynkin node $i \in I ∖ {0}$ …

math.QA2010

Ultra-discretization of the D_4^3-Geometric Crystals to the G_2^1-Perfect Crystals

Mana Igarashi, Kailash C. Misra, Toshiki Nakashima

Let g be an affine Lie algebra and g^L be its Langlands dual. It is conjectured that g has a positive geometric crystal whose ultra-discretization is isomorphic to the limit of cer…

math.QA2010

Geometric Crystals on Flag Varieties and Unipotent Subgroups of Classical Groups

Mana Igarashi, Toshiki Nakashima

For a classical simple algebraic group $G$ we obtain the affirmative answer for the conjecture in [8] that there exists an isomorphism between the geometric crystal on the flag var…

math.QA2009

Affine Geometric Crystal of type $D_{4}^{(3)}$

Mana Igarashi, Toshiki Nakashima

We shall realize certain affine geometric crystal of type $D_{4}^{(3)}$ associated with the fundamental representation $W (π_{1})$ explicitly . By its explicit form, we see that it has…

D5(1)​- Geometric Crystal corresponding to the Dynkin spin node i=5 and its ultra-discretization

Ultra-discretization of the D_4^3-Geometric Crystals to the G_2^1-Perfect Crystals

Geometric Crystals on Flag Varieties and Unipotent Subgroups of Classical Groups

Affine Geometric Crystal of type D4(3)​

$D_{5}^{(1)}$ - Geometric Crystal corresponding to the Dynkin spin node $i = 5$ and its ultra-discretization

Affine Geometric Crystal of type $D_{4}^{(3)}$