• Journal of the Chungcheong Mathematical Society
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• v.23 no.1
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• pp.177-184
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• 2010

Let G be an abelian group, $\alpha$ an antisymmetric bicharacter on G and g a (G, $\alpha$)-Lie algebra. Here we give a complete proof for that the associated graded algebra determined by a natural filtration in the universal enveloping algebra U(g) is a (G, $\alpha$)-Poisson Hopf algebra.

• Journal of the Korean Mathematical Society
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• v.39 no.1
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• pp.149-161
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• 2002

We study the torsions in the integral homology of the double loop space of the compact simple Lie groups by determining the higher Bockstein actions on the homology of those spaces through the Bockstein lemma and computing the Bockstein spectral sequence.

• Journal for History of Mathematics
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• v.10 no.2
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• pp.24-29
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• 1997

Derivation은 Lie group, Lie ring 그리고 Lie Algebra에서 정의되어 사용되며 발전하였으며 ring에서 일반화 되었다. 역시 prime ring에서 연구되어지는 derivation의 성질들은 prime near-ring에서 일반화 시키려고 하고 있다. 1957년 E. Posner는 prime ring에서 두 개의 derivation의 곱(함수합성)이 derivation이면 이들중 하나의 derivation이 0임을 밝혔다. 본 논문에서는 prime ring에서 derivation이 연구된 역사적인 배경을 소개하고 몇가지 성질을 찾는다. 즉, D. F를 prime ring R의 derivation들이라 할 때 정수 $n{\ge}1$에 대하여 $DF^n$=0이면 D=0이거나 또는 $F^{3n-1}$=0이고, $D^nF$=0이면 $D^{9n-7}$=0 이거나 또는 $F^2$=0 이다.

• Honam Mathematical Journal
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• v.40 no.2
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• pp.265-280
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• 2018

In this study, we firstly define equations of motion based on the traditional model Newtonian mechanics in terms of the Frenet frame adapted to the trajectory of the moving particle in Lie groups. Then, we compute energy on the moving particle in resultant force field by using geometrical description of the curvature and torsion of the trajectory belonging to the particle. We also investigate the relation between energy on the moving particle in different force fields and energy on the particle in Frenet vector fields.

• Journal of Oriental Neuropsychiatry
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• v.6 no.1
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• pp.71-84
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• 1995

This paper is for studying interrelation between Stress perception, Todai Index(THI) test and coffee. this study was done on 163 college women whose ages were 18 to 33 and who were in University in Wonju. The Stress perception test and THI test shows the following results. 1. The Stress test on the group that drunk coffee and beverage shows high degree of oppression sense about school and daily life. 2.The total THI test on the group that drunk coffee shows high degree of complaint on mouth, evacuation and lie scale, but shows the lowest piont on nervousrness. 3. The D-group womrn who drink a cup of coffee, two or three show the highest complaint on mouth and evacuation. E-group shows the lowest lie scale. 4 The Stress test and health examination on the group that drunk coffee show high degee of stress. And it also shows stimulative relation between the condition of body health and drinking coffee. The above shows that coffee and some beverage can affect on mental and physical health. Especially they are considered as a factor of stimulus on stress response. Through the THI test, the effect on mouth and evacuation, lie scale and nervousness could be obseved. So the drinking coffee and beverage requires circumspection.

• Bulletin of the Korean Mathematical Society
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• v.57 no.1
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• pp.207-218
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• 2020

Some modular representations of reflection groups related to Weyl groups are considered. The rational cohomology of the classifying space of a compact connected Lie group G with a maximal torus T is expressed as the ring of invariants, H*(BG; ℚ) ≅ H*(BT; ℚ)^W(G), which is a polynomial ring. If such Lie groups are locally isomorphic, the rational representations of their Weyl groups are equivalent. However, the integral representations need not be equivalent. Under the mod p reductions, we consider the structure of the rings, particularly for the Weyl group of symplectic groups Sp(n) and for the alternating groups A_n as the subgroup of W(SU(n)). We will ask if such rings of invariants are polynomial rings, and if each of them can be realized as the mod p cohomology of a space. For n = 3, 4, the rings under a conjugate of W(Sp(n)) are shown to be polynomial, and for n = 6, 8, they are non-polynomial. The structures of H*(BT^n-1; 𝔽_p)^A_n will be also discussed for n = 3, 4.

• Annals of Hepato-Biliary-Pancreatic Surgery
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• v.26 no.2
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• pp.178-183
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• 2022

Backgrounds/Aims: Proximal splenorenal shunt (PSRS) is considered a one-time treatment for noncirrhotic portal hypertension (NCPH) to prevent recurrent upper gastrointestinal (UGI) hemorrhage and long-term complications. Long-term shunt patency is necessary to achieve these. The lie of the shunt is a contributing factor to early shunt thrombosis. We investigated the role of resection of the distal tail of pancreas (caudal pancreatectomy [CP]) in improving the lie of shunt and decreasing shunt thrombosis. Methods: This was a retrospective cohort study of patients with NCPH who underwent PSRS between 2014-2020 in JIPMER, Puducherry, India. CP was performed in patients with a long tail of pancreas, with the tip of pancreatic tail extending up to splenic hilum on preoperative CT. Perioperative parameters and shunt patency rate of patients who underwent PSRS with CP (Group A) were compared with patients undergoing conventional PSRS (Group B). Statistical analysis was performed using the Mann-Whitney U test and χ² test. Results: Eighty four patients with NCPH underwent PSRS (extrahepatic portal vein obstruction = 39; noncirrhotic portal fibrosis = 45). Blood loss was lower (p = 0.002) and post-shunt fall in portal pressure higher (p = 0.002) in Group A. Shunt thrombosis rate was lower (p = 0.04) while rate of complete variceal regression (p = 0.03) and biochemical pancreatic leak (p = 0.01) were higher in Group A.There was no clinically relevant pancreatic fistula in either group. Conclusions: CP is a safe and useful technique for reducing shunt thrombosis after PSRS in patients with NCPH by improving the lie of shunt.

• Journal of the Korean Mathematical Society
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• v.54 no.3
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• pp.793-805
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• 2017

In this paper, we prove that the Ricci tensor of a three-dimensional almost Kenmotsu manifold satisfying ${\nabla}_{\xi}h=0$, $h{\neq}0$, is ${\eta}$-parallel if and only if the manifold is locally isometric to either the Riemannian product $\mathbb{H}^2(-4){\times}\mathbb{R}$ or a non-unimodular Lie group equipped with a left invariant non-Kenmotsu almost Kenmotsu structure.

• Communications of the Korean Mathematical Society
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• v.9 no.2
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• pp.415-418
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• 1994

Let G be a compact Lie group and let $S^1$ denote the unit circle in $R^2$ with the standard metric. Since every smooth compact Lie group action on $S^1$ is smoothly equivalent to a linear action (cf. [3J TH 2.0), we may think of $S^1$ with a smooth G-action as S(V) the unit circle of a real 2-dimensional orthogonal G-module V.(omitted)

• Bulletin of the Korean Mathematical Society
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• v.56 no.1
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• pp.253-263
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• 2019

Let M be a curvature homogeneous or ball-homogeneous non-$coK{\ddot{a}}hler$ almost $coK{\ddot{a}}hler$ 3-manifold. In this paper, we prove that M is locally isometric to a unimodular Lie group if and only if the Reeb vector field ${\xi}$ is an eigenvector field of the Ricci operator. To extend this result, we prove that M is homogeneous if and only if it satisfies ${\nabla}_{\xi}h=2f{\phi}h$, $f{\in}{\mathbb{R}}$.